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Paper Citation Record · LEDGER

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups

As of 15 August 2026, this Paper Citation Record lists 100 of 112 outbound references and 0 inbound Pith citation observations for arXiv:1908.06621.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.06621 v3

Coverage vector

measured 100 of 112 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T12:51:46.457840Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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Reference resolution

100 of 112 outbound references displayed

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  • verified fuzzy0
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Outbound references

Observation 9bb64176-2e90-4b3c-839d-db96dbf21c79 · outbound

This paper cites Evidence for F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Evidence for F-Theory

Reference 1

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source=pdf_text observed=2026-08-14T12:51:46.034211Z digest=sha256:c8668a22b991435793be0870a658ab83725828c59091c3c8c8fc48f290011ac1

Observation 06f9259a-58fd-4470-8c07-28486bd47136 · outbound

This paper cites Compactifications of F-Theory on Calabi--Yau Threefolds -- I.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Compactifications of F-Theory on Calabi--Yau Threefolds -- I

Reference 2

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source=pdf_text observed=2026-08-14T12:51:46.039635Z digest=sha256:a8a0dbc07795c404539d4c8abccc7231aaf4630c0f18f12d67fb471b416b304d

Observation 23dcfdaa-78ed-4ad9-aa28-ef7249a135cb · outbound

This paper cites Compactifications of F-Theory on Calabi--Yau Threefolds -- II.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Compactifications of F-Theory on Calabi--Yau Threefolds -- II

Reference 3

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source=pdf_text observed=2026-08-14T12:51:46.044052Z digest=sha256:3b48cc5048aeb5a2530114128103ae825d5c1d656b5dd01961cbc6ed6fe6d12d

Observation 0f751cea-6c60-4077-8136-1fd2189c4144 · outbound

This paper cites Stringy origin of non-Abelian discrete flavor symmetries.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Stringy origin of non-Abelian discrete flavor symmetries

Reference 4

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source=pdf_text observed=2026-08-14T12:51:46.048480Z digest=sha256:dab85ad8ac0fa1892987db41e3991ce7af1141255916a18d56dba41178f763a1

Observation 8cc7c9e0-fa45-44f9-95bf-ca4899631168 · outbound

This paper cites Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models

Reference 5

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source=pdf_text observed=2026-08-14T12:51:46.052926Z digest=sha256:e587a5d8c2a480c5ca214eea9a20e422bb51d9af017cec4ea47b9f3a8628916f

Observation c1dde881-3a71-4946-a398-a1ad6b56b2d6 · outbound

This paper cites Symmetries and Strings in Field Theory and Gravity.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Symmetries and Strings in Field Theory and Gravity

Reference 6

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source=pdf_text observed=2026-08-14T12:51:46.057427Z digest=sha256:04149835793a78d121dc581df5d008085a38ae226efef59b1c9d84593293a58c

Observation a59f2bc6-c171-4b7e-90b8-c0b21f79d64f · outbound

This paper cites Sums over topological sectors and quantization of Fayet-Iliopoulos parameters.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Sums over topological sectors and quantization of Fayet-Iliopoulos parameters

Reference 7

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source=pdf_text observed=2026-08-14T12:51:46.063277Z digest=sha256:8c2e8d71529f1390c5b51f2af24c73340cc7be0cc77a740d6a8dd957455cf916

Observation bef53b56-804d-43c0-a220-0d770c7c970b · outbound

This paper cites RR photons.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups RR photons

Reference 8

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source=pdf_text observed=2026-08-14T12:51:46.067487Z digest=sha256:784e5a7dbacc93fdd11e14ed22a42419d8a5f1947c7dec7488a5650a44562870

Observation f0115032-4275-4ffc-b22c-1e0dee8f32c9 · outbound

This paper cites Discrete gauge symmetries in D-brane models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete gauge symmetries in D-brane models

Reference 9

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source=pdf_text observed=2026-08-14T12:51:46.071914Z digest=sha256:fc93e0d5e93c30945193fad9dba5c7a67d45b93324a82cfec6e9b130fd71802c

Observation 7f190381-32c1-48d9-b8e4-f2bbb7ff8407 · outbound

This paper cites Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds

Reference 10

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source=pdf_text observed=2026-08-14T12:51:46.076114Z digest=sha256:56a4f42fc0f8111533a9f56f122b6ff5e2bdff9fa1ebc5f78050d6e61ccbe6d1

Observation 3f26b2f6-f8d3-4c66-ab02-3e9c1bea49d4 · outbound

This paper cites Non-Abelian discrete gauge symmetries in 4d string models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Non-Abelian discrete gauge symmetries in 4d string models

Reference 11

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source=pdf_text observed=2026-08-14T12:51:46.080160Z digest=sha256:5456ae212bf67d825702e92392d8d8d58847e0c6eb72ca42b51326de02715f81

Observation acaa994a-b9b9-40f3-b591-24c31d601815 · outbound

This paper cites Zp charged branes in flux compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Zp charged branes in flux compactifications

Reference 12

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source=pdf_text observed=2026-08-14T12:51:46.084387Z digest=sha256:cdf87e8d8ab8d924f87c0ebe7bc88ad6558095c103632df35fdb603ab95f843b

Observation 986fcfbf-7384-4f20-a7ea-1d7d5f62f0ea · outbound

This paper cites Discrete flavor symmetries in D-brane models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete flavor symmetries in D-brane models

Reference 13

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source=pdf_text observed=2026-08-14T12:51:46.088580Z digest=sha256:8d97a2cf324bce7981405e127e18a3cbe4ca4a791025e99692856c4db7b13b43

Observation 11db1f9a-4d66-4365-af0c-0cd336d8d10a · outbound

This paper cites To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models

Reference 14

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source=pdf_text observed=2026-08-14T12:51:46.092622Z digest=sha256:cb670dd5df6f310043c1b5216fcae510df63c950c35222d46fa1a8fe32a56331

Observation 9ad0feae-7e2d-487d-a350-bd97fe77a543 · outbound

This paper cites Antisymmetric tensor Z_p gauge symmetries in field theory and string theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Antisymmetric tensor Z_p gauge symmetries in field theory and string theory

Reference 15

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source=pdf_text observed=2026-08-14T12:51:46.096969Z digest=sha256:620a96bcb5c2ba160d9c1531492d6026bf0b525a50b9efd4f84e06db7365631c

Observation 196bf9d0-fedd-4ad2-88e7-60fef2903bfb · outbound

This paper cites Discrete Family Symmetry from F-Theory GUTs.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Family Symmetry from F-Theory GUTs

Reference 16

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source=pdf_text observed=2026-08-14T12:51:46.101022Z digest=sha256:5ee24b519c2c6a6294d63691fa5798dddc1974b00e67358c7fe1005566e8b020

Observation cf0f8a4c-d283-4b93-998f-1b2627fd0749 · outbound

This paper cites Discrete Abelian gauge symmetries and axions.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Abelian gauge symmetries and axions

Reference 17

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source=pdf_text observed=2026-08-14T12:51:46.105219Z digest=sha256:a8667e8847d8cd46bf369c783c1533f8a715cbf304191c479639969313ea8a3c

Observation 21a63c5f-9e52-4d80-84da-68f713672793 · outbound

This paper cites Non-Abelian discrete gauge symmetries in F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Non-Abelian discrete gauge symmetries in F-theory

Reference 18

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source=pdf_text observed=2026-08-14T12:51:46.110093Z digest=sha256:20e91ff51c33c3868b51552ab5e30c7dee13d32a85f03736a6c45de2e9dc81c8

Observation c2dcd3f5-52cb-474e-949d-3ec8cb920b56 · outbound

This paper cites Sections, multisections, and U(1) fields in F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Sections, multisections, and U(1) fields in F-theory

Reference 19

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source=pdf_text observed=2026-08-14T12:51:46.114329Z digest=sha256:bffcea8fd7465b8590a8a46f0095a4a6560c6dc520cdc7fb8fe4aa5778571f70

Observation 1e26f450-ef9f-4ce1-a5fa-94656fd66383 · outbound

This paper cites F-theory on Genus-One Fibrations.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory on Genus-One Fibrations

Reference 20

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source=pdf_text observed=2026-08-14T12:51:46.118359Z digest=sha256:ccc9dde301fa0c45cec0b14a5595b7e65bbe30c4ed64d3edce43b2114997a9d2

Observation d1037dea-0a7d-40a9-9756-933aa46b1460 · outbound

This paper cites Physics of F-theory compactifications without section.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Physics of F-theory compactifications without section

Reference 21

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source=pdf_text observed=2026-08-14T12:51:46.122483Z digest=sha256:dc6a0ce66aa8b5274ab5bc778c177263fde27b33c56b6ae3a51a2dabef23110e

Observation fe811e5a-7f3f-4832-98f6-24ac9ac70842 · outbound

This paper cites F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches

Reference 22

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source=pdf_text observed=2026-08-14T12:51:46.126388Z digest=sha256:bbc731f0eff33087ade9e8881d75858234581f1871edd0f510da76e1cc605765

Observation 67e53343-428f-4f85-ae0d-842ab961cf1e · outbound

This paper cites Yukawas and discrete symmetries in F-theory compactifications without section.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Yukawas and discrete symmetries in F-theory compactifications without section

Reference 23

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source=pdf_text observed=2026-08-14T12:51:46.130611Z digest=sha256:5d24f00e7bd2799e95f960ac4b42dd5625e30f1098dc641a852cea746b403f31

Observation d3b1273b-9a14-4247-92ef-ec7c209a0ef5 · outbound

This paper cites Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications

Reference 24

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source=pdf_text observed=2026-08-14T12:51:46.134620Z digest=sha256:00a6c36bdfa690906f2460797a2e8d30c3ca3e234e7fffd58c75691a647d7e1e

Observation 4ac97ac1-6812-4c76-a499-d30ed379ec25 · outbound

This paper cites On Discrete Symmetries and Torsion Homology in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups On Discrete Symmetries and Torsion Homology in F-Theory

Reference 25

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source=pdf_text observed=2026-08-14T12:51:46.138348Z digest=sha256:3a1f252f73d4bf1ff1c4c149bf542d86cf04b6205c161d62a44131d358cc5f0e

Observation 95e0618f-2eb2-4688-93ec-7cd0a8c6e3d0 · outbound

This paper cites Complete Intersection Fibers in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Complete Intersection Fibers in F-Theory

Reference 26

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source=pdf_text observed=2026-08-14T12:51:46.142373Z digest=sha256:a691f4d18d2004c571e01e263d2ad6d1f7a2fe4b22be60834bb5f635e5e5eebc

Observation 29502f7e-2e7b-4abf-972e-a9dcd85dc68e · outbound

This paper cites F-Theory Vacua with Z_3 Gauge Symmetry.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-Theory Vacua with Z_3 Gauge Symmetry

Reference 27

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source=pdf_text observed=2026-08-14T12:51:46.146450Z digest=sha256:2482f419c5916c3ec415f6ef8dcadc98490606350b0415b43c2bf40b8e2453cb

Observation 8ddb81f5-c91d-4909-8d93-933beb256e52 · outbound

This paper cites Fluxes in F-theory Compactifications on Genus-One Fibrations.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Fluxes in F-theory Compactifications on Genus-One Fibrations

Reference 28

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.150741Z digest=sha256:9e2b99ae2aec0283a134758a306f4b1a43602b5b1a3decf0b24194c6e4e32ff1

Observation 8319f047-562f-4865-8465-accc621688b0 · outbound

This paper cites Gauge Groups and Matter Fields on Some Models of F-theory without Section.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Gauge Groups and Matter Fields on Some Models of F-theory without Section

Reference 29

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.154732Z digest=sha256:64e1bb485383e2cef3f50cb7f9c8a2cbaf416d3b607cfbe4b716980c6c83e4b3

Observation 9e4c969d-2f77-4c1a-8cc4-b023a206d42e · outbound

This paper cites Gauge symmetries and matter fields in F-theory models without section- compactifications on double cover and Fermat quartic K3 constructions times K3.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Gauge symmetries and matter fields in F-theory models without section- compactifications on double cover and Fermat quartic K3 constructions times K3

Reference 30

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local_arxiv, observed 2026-08-14T12:51:47.807755Z

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source=pdf_text observed=2026-08-14T12:51:46.158642Z digest=sha256:056f999451ef0a2b2f3ac67cf8538d2fca58f37ae7cd2833aad55363e0f6631a

Observation 811f7499-a20f-44a6-8b6d-4d5c9848fc6b · outbound

This paper cites Mordell-Weil Torsion in the Mirror of Multi-Sections.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Mordell-Weil Torsion in the Mirror of Multi-Sections

Reference 31

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local_arxiv, observed 2026-08-14T12:51:47.791016Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.162862Z digest=sha256:31993c73296ab1d6657d159b29bb11d480c5f28248b0c56ee1f4e70413baff96

Observation 4db3aa4f-03a0-4e8d-8ebe-2c5a284e43c8 · outbound

This paper cites Gauge groups and matter spectra in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without section - hypersurface and double cover constructions.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Gauge groups and matter spectra in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without section - hypersurface and double cover constructions

Reference 32

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local_arxiv, observed 2026-08-14T12:51:47.775112Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.168133Z digest=sha256:03e3177c5fc40174e361e638f20bc9ba110625295e2d6ab664e1b0da1b187dde

Observation 12a8e297-fe67-40a7-9cd9-4812fa2c3c09 · outbound

This paper cites Discrete Symmetries in Heterotic/F-theory Duality and Mirror Symmetry.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Symmetries in Heterotic/F-theory Duality and Mirror Symmetry

Reference 33

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local_arxiv, observed 2026-08-14T12:51:47.758502Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.172332Z digest=sha256:f05e726b8c686c209157dda30410d28256567269f9cef82391a2796ce0c2ed9d

Observation 80efe120-0cce-4d71-9ec6-6f4bf9c7689c · outbound

This paper cites Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section

Reference 34

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local_arxiv, observed 2026-08-14T12:51:47.741508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.176435Z digest=sha256:97e14a3ce4a7cd46e0ccb08a11e9067f088e6ae31ef10c9b3978d5a847766889

Observation 7ee19ef7-8b41-4925-a3e7-27a51fc032b9 · outbound

This paper cites K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.724087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.180510Z digest=sha256:985ce4adda57a104e84363070e4147fa8b4b2cf993b5c3f6471c721748d4f85f

Observation 7005e84b-fefc-4863-bc8f-a7171c4667b7 · outbound

This paper cites F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.184424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.184424Z digest=sha256:943359f373d17ac55602081986f5042a0e3ae18afcc4a316b1f473b42edd8064

Observation 5db25daa-a5b5-4652-bbfe-8bee98630230 · outbound

This paper cites $SU(n) \times \mathbb{Z}_2$ in F-theory on K3 surfaces without section as double covers of Halphen surfaces.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups $SU(n) \times \mathbb{Z}_2$ in F-theory on K3 surfaces without section as double covers of Halphen surfaces

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.693583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.188569Z digest=sha256:1c1118bacda9991d75378754a7ab7defa073beabf89e06a57a681b46998511a0

Observation 3ea6cd38-921a-4ff4-b2a8-df837cc4dda1 · outbound

This paper cites TASI Lectures on F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups TASI Lectures on F-theory

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.193503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.193503Z digest=sha256:f8d87b70b39be343eae667b7ddc2a326f558f5019e6aaabd5df7b98cce011137

Observation 36272622-b0ba-46cf-b587-bc72951fc7c2 · outbound

This paper cites An F-theory Realization of the Chiral MSSM with $\mathbb{Z}_2$-Parity.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups An F-theory Realization of the Chiral MSSM with $\mathbb{Z}_2$-Parity

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.664918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.199705Z digest=sha256:b69397aa105d08c2d4dd6c6579d0f4c91220d4d309e90d729f39ccce45ef4a06

Observation d0445713-c4ca-4af3-9da7-d69fc74bd7eb · outbound

This paper cites TASI Lectures on Abelian and Discrete Symmetries in F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups TASI Lectures on Abelian and Discrete Symmetries in F-theory

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.204634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.204634Z digest=sha256:3b3f7ff479d0443c9fed8a96b1e709187f89013d01adbe07c15197755d53ba7c

Observation 4c197e13-bef6-416c-8e93-6583a1713e8e · outbound

This paper cites On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.208858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.208858Z digest=sha256:5467bdfe896b7d3b9723a4db750396071b6029216936e77382a1b379e5699834

Observation 0e522eda-0271-414e-bfa2-f99a991596e4 · outbound

This paper cites Nongeometric heterotic strings and dual F-theory with enhanced gauge groups.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Nongeometric heterotic strings and dual F-theory with enhanced gauge groups

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.623947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.213520Z digest=sha256:d241a68f35ce88f240ead208b377a2c6866976a2be34cb7eb7d4597740a31d63

Observation b0194cdd-4bea-4c02-b3d5-90462cbfe03f · outbound

This paper cites Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.605922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.217281Z digest=sha256:a2b9795f075763b31d7317d190d623540bf1ec68d3bd138e2f28cee8b2a316f8

Observation f59403fa-2946-45f3-9da3-31b322e378aa · outbound

This paper cites Discrete gauge groups in certain F-theory models in six dimensions.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete gauge groups in certain F-theory models in six dimensions

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.588574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.222180Z digest=sha256:750bb44cc8ac5e91d87b68197ef0fae64b4853ea818480de7f7a13c3dc613c5f

Observation 3ed49f56-b7d5-4f8c-95e5-fd80a4edf628 · outbound

This paper cites A note on transition in discrete gauge groups in F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups A note on transition in discrete gauge groups in F-theory

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.571247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.227560Z digest=sha256:b68a3db37c6f0a4c0259fd87bc3601e151e01ddc5db783b03d2de9488d0f34ce

Observation 07940f57-3847-48fd-93d6-60c7e536fd5c · outbound

This paper cites Elevating the Free-Fermion $Z_2\times Z_2$ Orbifold Model to a Compactification of F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Elevating the Free-Fermion $Z_2\times Z_2$ Orbifold Model to a Compactification of F-Theory

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.553653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.232573Z digest=sha256:b41b6bba8386ddcf0b9ca55a1ad95746ad3e2358dc5fc5c694860cff8fdc68ec

Observation 19090159-7f87-4d52-b93a-c0fc0630b9b8 · outbound

This paper cites Triples, fluxes, and strings.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Triples, fluxes, and strings

Reference 47

Resolution
verified exact
raw_fallback, observed 2026-08-14T12:51:47.535058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.237921Z digest=sha256:977dbe7f9aa657eb44603dd406083c0cf87b36926d033333faad9e5febd709d8

Observation 5092dbe3-a930-494b-b6b3-1161ac4e94f2 · outbound

This paper cites F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.241622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.241622Z digest=sha256:5ae980570c4d940c7821dca1a2d846ec39fd9042ace7a931d559c49875497649

Observation 2bf93c9f-368b-40d7-9821-58a971ad939d · outbound

This paper cites U(1) symmetries in F-theory GUTs with multiple sections.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups U(1) symmetries in F-theory GUTs with multiple sections

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.394224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.245730Z digest=sha256:982d28ef321760bfdbc0b856359341e7651e876bd80b97ad187dd77b0c6059ea

Observation ffb40156-741a-4acd-b12d-85209c548b67 · outbound

This paper cites New Global F-theory GUTs with U(1) symmetries.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups New Global F-theory GUTs with U(1) symmetries

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.378330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.250368Z digest=sha256:e993258f6a5ef4aaf8290eca3e58db80cb96af02b71392dd281ac4b54f082256

Observation b556ea5e-2dfc-4faa-bce9-9c4885cddd55 · outbound

This paper cites Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.362129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.254733Z digest=sha256:a48aeb3c5199b944137cdaca0c1bf37cb6411fb490a8feccb52b98ae8b0daf33

Observation f89f8d90-af9a-45c7-9869-62944c35051e · outbound

This paper cites F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.345049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.258776Z digest=sha256:0b382b41ec2926bba14c2dd5a4becd65c9917bd9ea59131099a8e8af46429302

Observation 671f0566-9014-479e-841d-da1220105a22 · outbound

This paper cites Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.262880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.262880Z digest=sha256:36ea29fe8c72ae604335473770fcabaff26575ccc07129a5410a426880c2da67

Observation 9bcdac42-25a5-4cb4-90a6-b23f7954d008 · outbound

This paper cites Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.316084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.266974Z digest=sha256:136e31113b39a0b2632f840449043ae9e83c7a1ef8801483c463327c7bdf9b0c

Observation c595e42b-27ff-4bc4-86c3-25f991e124c6 · outbound

This paper cites F-Theory Compactifications with Multiple U(1)-Factors: Addendum.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-Theory Compactifications with Multiple U(1)-Factors: Addendum

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.299100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.271194Z digest=sha256:85718ff87fddaf454c476407e24cd58cfc48bc9c6e05aa6ea703219d0cd8c281

Observation 0b2d40d7-e5d6-4927-9ecf-9c5b0be521b3 · outbound

This paper cites Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.282595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.275484Z digest=sha256:4c659fa404eb3d741b9bd0fc73050d35aec6675fed1eb5b82f47c9ee5d69cc44

Observation 8e976366-c2de-4115-9d2a-3c9d5471a3cc · outbound

This paper cites F-theory Family Unification.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory Family Unification

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.279859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.279859Z digest=sha256:2f8945dfd49ea24e37e56c20a362db5cffc1abc15fdc5e751d2dcc5a2a55e933

Observation 729321b3-5f19-438f-86b3-87858c41a7c9 · outbound

This paper cites F-GUTs with Mordell-Weil U(1)'s.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-GUTs with Mordell-Weil U(1)'s

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.255534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.284075Z digest=sha256:6331eda63f6187b8873c8af78cfc4b84f9ad501fecdcaf943b1a8b6d55dec230

Observation cdf92ed5-1344-4583-8f2b-9b0aeec5abf1 · outbound

This paper cites A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.239258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.288240Z digest=sha256:cf8bf1119afb8ec400792f17134924bddfa6c5f68df186288328c3cc2b4e933a

Observation 71cf32a5-f117-4ed3-a3fb-e5e7197b51fa · outbound

This paper cites F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.222287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.292437Z digest=sha256:02767337510cfb3dec590e417baf0bbd6d2053256181eb1011744323a6840067

Observation 29bfdd1f-6c77-46e5-a4f7-00b003500fcd · outbound

This paper cites General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.203913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.296662Z digest=sha256:6b82b87894325b323a10d5e6ca0f08cc3715cf2f973fd3ac9aa07ee8d542ab40

Observation df041c79-643f-4077-9ef0-fc980c4301ef · outbound

This paper cites Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.300771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.300771Z digest=sha256:8310411f240bc90e4c87afc0367c16fa03a695899568d9b61580b43b8c178c69

Observation 23d05cb2-66d5-4668-871b-5402f9dc4c4e · outbound

This paper cites Tall sections from non-minimal transformations.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Tall sections from non-minimal transformations

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.173987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.305022Z digest=sha256:3d9eb794d36f57840f0fdfcca891f2239fc8a798362d6812e6ce4fd5986db8b6

Observation 1f207852-f68a-42c5-9864-a4a6073064b3 · outbound

This paper cites Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces

Reference 64

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.156124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.309156Z digest=sha256:0c26ad32e6aea8971d21551e0d35765056bce300a10a89d2256be46071ec0d02

Observation 9b11c6bb-07d4-4321-a17c-94ca07ab813d · outbound

This paper cites Gauge Backgrounds and Zero-Mode Counting in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Gauge Backgrounds and Zero-Mode Counting in F-Theory

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.313193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.313193Z digest=sha256:8e0f381660b46051d61f4612d9a8c981b97da0199cb1860aadd58137210874bc

Observation 7449cf62-4c25-455d-a871-e91fd5b22aba · outbound

This paper cites The Global Gauge Group Structure of F-theory Compactification with U(1)s.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups The Global Gauge Group Structure of F-theory Compactification with U(1)s

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.317511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.317511Z digest=sha256:bcd14349af9d6c090f933da78c0bdc7333d3d5dbd4803950479fa568e4f0bca3

Observation 5f0382f2-c272-4c69-8913-3d88a8edc4b7 · outbound

This paper cites Algebraic Cycles and Local Anomalies in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Algebraic Cycles and Local Anomalies in F-Theory

Reference 67

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local_arxiv, observed 2026-08-14T12:51:47.113558Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.321601Z digest=sha256:68f259c04fffcee784cf37898c0ea54483627c1319cb96c740190e10e0549c12

Observation 7b92a072-30c4-4aa6-8d35-ea19a76009fe · outbound

This paper cites Enhancements in F-theory models on moduli spaces of K3 surfaces with $ADE$ rank 17.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Enhancements in F-theory models on moduli spaces of K3 surfaces with $ADE$ rank 17

Reference 68

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local_arxiv, observed 2026-08-14T12:51:47.095913Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.325770Z digest=sha256:c3ceaa40646a797f565bc87bacf97dcda05bec91da8a85cddbf4a764cc84d949

Observation de73444b-217f-4088-b915-99c8d064ab17 · outbound

This paper cites F-theory models on K3 surfaces with various Mordell-Weil ranks -constructions that use quadratic base change of rational elliptic surfaces.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory models on K3 surfaces with various Mordell-Weil ranks -constructions that use quadratic base change of rational elliptic surfaces

Reference 69

Resolution
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local_arxiv, observed 2026-08-14T12:51:47.078024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.329762Z digest=sha256:b5ad4b75314f1da6ab025f540cc9555e07416b43a25b302e39a3c21761375937

Observation 75eee53a-0baf-4930-9f70-0cc206342238 · outbound

This paper cites 6d SCFTs and U(1) Flavour Symmetries.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups 6d SCFTs and U(1) Flavour Symmetries

Reference 70

Resolution
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no resolver link, observed 2026-08-14T12:51:46.334007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.334007Z digest=sha256:fa3ef63fe981b48f8778694300cd1835af2b507455313ea9873b9b7e4606e58e

Observation 37199572-b077-4af8-9584-978d379854eb · outbound

This paper cites Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications

Reference 71

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.048925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.338253Z digest=sha256:7c7ae6efd7b8d492004b1b2c8719fe830547a2c31166cf75c0829ca683b22391

Observation 2a5206e7-23e8-4b92-851c-805894ee7b16 · outbound

This paper cites High U(1) charges in type IIB models and their F-theory lift.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups High U(1) charges in type IIB models and their F-theory lift

Reference 72

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.031365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.342544Z digest=sha256:34e97800130a1b2f4ed2329c55090522884374a8d707689a4ecb756dbac28569

Observation 8187815f-4fab-46d2-9ec8-4e4ab876df67 · outbound

This paper cites Generic matter representations in 6D supergravity theories.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Generic matter representations in 6D supergravity theories

Reference 73

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.346697Z digest=sha256:5766c00b75566a38c9f966758eba0dfa91cf68ea5b1f46a83e62e2543956fe86

Observation e7d15a8c-b053-4cf1-b3ff-528c43e80acc · outbound

This paper cites F-theory models with 3 to 8 U(1) factors on K3 surfaces.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory models with 3 to 8 U(1) factors on K3 surfaces

Reference 74

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.003355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.350970Z digest=sha256:feb4cff47414cda23299b6c226828e56991fe0d22c62b67d5adc6ae94fe4032d

Observation 40ba723c-d0a2-4003-b1a7-bca53763eca3 · outbound

This paper cites The Geometry of SO(3), SO(5), and SO(6) models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups The Geometry of SO(3), SO(5), and SO(6) models

Reference 75

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.986002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.355065Z digest=sha256:f52be1551b833e480ddf2a19e78994e7b378681f399b0f2a44feab5e06bc966e

Observation d06779f2-c0d8-4b35-91fd-da06c7c9248d · outbound

This paper cites Swampland Bounds on the Abelian Gauge Sector.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Swampland Bounds on the Abelian Gauge Sector

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.358970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.358970Z digest=sha256:9a600a65d224f88b33c37876dcdc3df8e72ab819e41204d63b746ca9b1f21249

Observation cbb14042-1e88-467c-b70e-62a83f12483c · outbound

This paper cites The Arithmetic of Elliptic Fibrations in Gauge Theories on a Circle.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups The Arithmetic of Elliptic Fibrations in Gauge Theories on a Circle

Reference 77

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.958869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.362682Z digest=sha256:6c0fd872d93cda1026d3fe93c5e9daa06bdd50e6be34a781b5f7effd1c59de56

Observation 89763ce2-9a53-4be1-a0c1-c7ba936a3df4 · outbound

This paper cites an unresolved cited work.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Unresolved cited work

Reference 78

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no resolver link, observed 2026-08-14T12:51:46.366676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.366676Z digest=sha256:8de47bfd01ffb990004bd0522f3497b9d8624571de2acade45ce0fc7549d2252

Observation 35e36d49-b29d-4e84-9e13-0d9509292166 · outbound

This paper cites Model Building with F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Model Building with F-Theory

Reference 79

Resolution
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no resolver link, observed 2026-08-14T12:51:46.370586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.370586Z digest=sha256:ff6c63c8698ea9b92c0d82d38e457168ef88f04f2e9457a43ba09db35288b860

Observation 7a638eda-fcc8-4137-842e-dd0c6af31a6f · outbound

This paper cites GUTs and Exceptional Branes in F-theory - I.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups GUTs and Exceptional Branes in F-theory - I

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.374741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.374741Z digest=sha256:efac1bf32a3deff176609dca97c0951a6f95acfa437fb59b949c3ab3fd684829

Observation 78a29481-9de8-473a-baf7-66d2ec6b3c34 · outbound

This paper cites GUTs and Exceptional Branes in F-theory - II: Experimental Predictions.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups GUTs and Exceptional Branes in F-theory - II: Experimental Predictions

Reference 81

Resolution
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no resolver link, observed 2026-08-14T12:51:46.378713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.378713Z digest=sha256:611bb548b5287f14deba55acca0e97961ba36682713d15a5da3d9a3184e3e362

Observation 750e625e-aa93-4945-9c9c-5ae8e4231c08 · outbound

This paper cites Breaking GUT Groups in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Breaking GUT Groups in F-Theory

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.383139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.383139Z digest=sha256:68e81b6f4fc121359e3faedef424f177a5a142273eeac6389ed74618659f36b2

Observation 3603f307-0885-4403-b9f8-9cab254e1389 · outbound

This paper cites M-Theory on Eight-Manifolds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups M-Theory on Eight-Manifolds

Reference 83

Resolution
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no resolver link, observed 2026-08-14T12:51:46.387396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.387396Z digest=sha256:595dd2ff9d675ca1e98ac5f4b359b12e6315f524c18b5e98de9ac8cb3dd46bf9

Observation 0fe553d9-28d5-4aad-8674-00d0cb84754d · outbound

This paper cites Constraints on Low-Dimensional String Compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Constraints on Low-Dimensional String Compactifications

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.391528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.391528Z digest=sha256:5feb55a88104791938a31ca07fe4ed6b52e198f6712519eacd7d705c761c6abf

Observation c3d6e05f-a7b4-4f92-be78-aad88e1a2a60 · outbound

This paper cites On Flux Quantization In M-Theory And The Effective Action.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups On Flux Quantization In M-Theory And The Effective Action

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.395472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.395472Z digest=sha256:a89b76d80dfea11644cdf6e039a7abf29b00f781ca5d32f1a8b1e481e1be7901

Observation a3c76779-2421-415e-92ef-48f1a117b89c · outbound

This paper cites CFT's From Calabi-Yau Four-folds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups CFT's From Calabi-Yau Four-folds

Reference 86

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.399886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.399886Z digest=sha256:3e75431f95738056232a643e9d69e9ac12f204ce6e01f9a4bf72da6bc559a4e0

Observation 3e008d2b-8e63-4539-abd2-b8574c5ab499 · outbound

This paper cites M Theory, Orientifolds and G-Flux.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups M Theory, Orientifolds and G-Flux

Reference 87

Resolution
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no resolver link, observed 2026-08-14T12:51:46.404164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.404164Z digest=sha256:508b33f148db5a6ed5d2b3eb72dc23a115c6d9d841db22b1561f61d10c9ca91f

Observation fa41a0d8-c911-46e7-b266-c4b9c957beee · outbound

This paper cites A Note on G-Fluxes for F-theory Model Building.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups A Note on G-Fluxes for F-theory Model Building

Reference 88

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.837813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.408360Z digest=sha256:b582bdee96f3ed7c25c7e0bfbb8d7934c41d16ac77ed0c977f17d60ce0ab2c9f

Observation d3541e88-f9f2-4ce9-b271-2c59b564fcd2 · outbound

This paper cites On Flux Quantization in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups On Flux Quantization in F-Theory

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.412356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.412356Z digest=sha256:9c688437e1dffdd7ba9c9c65d47e22bdb26a8732008c6fe9fa54173f6bcf2b73

Observation 3f73dd28-824e-4256-b078-19bba95c9898 · outbound

This paper cites On G-flux, M5 instantons, and U(1)s in F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups On G-flux, M5 instantons, and U(1)s in F-theory

Reference 90

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.808565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.417299Z digest=sha256:a69ec5b3da994e5a530a34a6c5bba527267117d8dd1b5d032acf625a2f497879

Observation 8523d4be-6c50-4391-b666-f28d7f40b7c8 · outbound

This paper cites G-flux in F-theory and algebraic cycles.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups G-flux in F-theory and algebraic cycles

Reference 91

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.421028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.421028Z digest=sha256:a932b30ad9aa454789b4036c4d01cf82b44bb391612aaaceafdb292bcd4c6113

Observation 51e9759a-e332-43d8-b1e5-e6a5c79ee579 · outbound

This paper cites Yukawas, G-flux, and Spectral Covers from Resolved Calabi-Yau's.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Yukawas, G-flux, and Spectral Covers from Resolved Calabi-Yau's

Reference 92

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.780857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.425111Z digest=sha256:502d7a5a01c9f1a9908c125295ffbe2964e60b7de82a4df76cd456f6cc2ddf88

Observation 01da7649-6e52-4862-aac3-d0bed13bfd9d · outbound

This paper cites G_4 flux, chiral matter and singularity resolution in F-theory compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups G_4 flux, chiral matter and singularity resolution in F-theory compactifications

Reference 93

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.763766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.428998Z digest=sha256:395d02aa7754028ece3ea8ef06ee27b85d198e01dae48cb31bcd9e0aa33434bc

Observation f83e4ad3-64d6-42a1-b744-f060abf23bac · outbound

This paper cites F-theory fluxes, Chirality and Chern-Simons theories.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory fluxes, Chirality and Chern-Simons theories

Reference 94

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.745242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.433412Z digest=sha256:ac6b8a620929df2e58081571e0efaa8a6f6cc7d382876bb7c8316b172e3de606

Observation 856da6f8-5afb-4d7d-81d9-1b1d409f4590 · outbound

This paper cites Gauge Fluxes in F-theory and Type IIB Orientifolds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Gauge Fluxes in F-theory and Type IIB Orientifolds

Reference 95

Resolution
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no resolver link, observed 2026-08-14T12:51:46.437632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.437632Z digest=sha256:775ab891fbb4dcc268a75d631b2db99554e713fc7a2b7e4f29de01a6fa15b645

Observation cb1e245d-e58c-4a7c-b847-372afabf6968 · outbound

This paper cites Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.441776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.441776Z digest=sha256:b999fd0fea20b1f87ece99e63425906a48d59c40f8402702757186055b75b33a

Observation 93686c2b-1be5-4fda-916b-3cc049461c3f · outbound

This paper cites G-flux and Spectral Divisors.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups G-flux and Spectral Divisors

Reference 97

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.699365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.445549Z digest=sha256:55a9e17d0535cdab18d022ddb5ae51d311007f45f11366ea7aa9ed445f9b4914

Observation dac07767-e985-4136-8fd3-7d7e37d97c9c · outbound

This paper cites Anomaly Cancellation And Abelian Gauge Symmetries In F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Anomaly Cancellation And Abelian Gauge Symmetries In F-theory

Reference 98

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.680127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.449623Z digest=sha256:9f6f449583cf320cc830374fcc90ccca6786ee94073f47763ef59e2aa0798aa4

Observation 0f479236-dbac-4d26-bdd5-7ffad732a9af · outbound

This paper cites Hypercharge flux in F-theory and the stable Sen limit.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Hypercharge flux in F-theory and the stable Sen limit

Reference 99

Resolution
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no resolver link, observed 2026-08-14T12:51:46.453582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.453582Z digest=sha256:1241f104b816b84003afd6cddc6b83b945971ec6b2ffab1b5cd236958ca79c95

Observation 789cb59d-035d-4544-83ac-7ab30d90fa53 · outbound

This paper cites F-theory and 2d (0,2) Theories.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory and 2d (0,2) Theories

Reference 100

Resolution
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no resolver link, observed 2026-08-14T12:51:46.457840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.457840Z digest=sha256:d26182a548a3ebbcf3b3b96df9330f9369bcf7c06e0f1c8e9dd0e2f366650f36

Pith citing papers

No inbound Pith citation observations are available.