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Paper Citation Record · LEDGER

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch

As of 13 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2412.03155.

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

pith.paper-citation-record.v1
2412.03155 v1

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:50:17.676522Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

58 of 58 outbound references displayed

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  • verified fuzzy8
  • unresolved38
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation 25459d13-f3cc-4097-9e10-acb7f8f73957 · outbound

This paper cites Mirror Symmetry in Three Dimensional Gauge Theories.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Mirror Symmetry in Three Dimensional Gauge Theories

Reference 1

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source=pdf_text observed=2026-08-11T22:50:17.407886Z digest=sha256:621e8b49a2948421ed1e95d3971e38ad7bad0f9b7bebf05a9354bcb169f4c29c

Observation 6db2ae1e-6751-4db9-8cf0-1b08b6fd25b8 · outbound

This paper cites Quantizations of conical symplectic resolutions I: local and global structure.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Quantizations of conical symplectic resolutions I: local and global structure

Reference 2

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source=pdf_text observed=2026-08-11T22:50:17.413645Z digest=sha256:55867ec6566bafad3b432b61b5922dfa8ba845ae88a85c8e1285f0121ae8846b

Observation c076e13b-1420-4de3-9389-f4a75e57b7cf · outbound

This paper cites Quantizations of conical symplectic resolutions II: category $\mathcal O$ and symplectic duality.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Quantizations of conical symplectic resolutions II: category $\mathcal O$ and symplectic duality

Reference 3

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source=pdf_text observed=2026-08-11T22:50:17.418552Z digest=sha256:98453564ce8ef25167e8bf2b68b50ad584e06c9784311d64e6137b8186f2f1c5

Observation a1250a26-1b76-4a01-a496-855204216301 · outbound

This paper cites Infinite Chiral Symmetry in Four Dimensions.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Infinite Chiral Symmetry in Four Dimensions

Reference 4

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source=pdf_text observed=2026-08-11T22:50:17.423462Z digest=sha256:20ba1aa8235a60f838de761f92d3e50c197a6ce19ae95b3073be095419a0ec30

Observation 7aed71b6-90fd-488f-a4bc-cc087c6ff826 · outbound

This paper cites Vertex operator algebras, Higgs branches, and modular differential equations.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Vertex operator algebras, Higgs branches, and modular differential equations

Reference 5

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source=pdf_text observed=2026-08-11T22:50:17.429496Z digest=sha256:bd5bc67c591aab331f06d9cf0ad0ca22291605c21fcacc7ab10da62909034323

Observation b0af510a-7351-4a81-a4de-3008c62759bc · outbound

This paper cites Vertex operator algebras of Argyres-Douglas theories from M5-branes.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Vertex operator algebras of Argyres-Douglas theories from M5-branes

Reference 6

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source=pdf_text observed=2026-08-11T22:50:17.434374Z digest=sha256:579570abe72e7f782c007e3c208076f158c18a210377c11f1e6bea5381591b5b

Observation ce81b1fb-af42-4790-9432-603290a0911d · outbound

This paper cites Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties

Reference 7

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source=pdf_text observed=2026-08-11T22:50:17.439438Z digest=sha256:514fac42b82bd82d56ef17b5a9f1be167ebfb77c826fb5996c26e9fba8d11115

Observation 36c8c039-ab33-4ddd-b6b8-0c6c5c6d70c6 · outbound

This paper cites Mirror symmetry for circle compactified 4d $\mathcal{N}=2$ SCFTs.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Mirror symmetry for circle compactified 4d $\mathcal{N}=2$ SCFTs

Reference 8

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source=pdf_text observed=2026-08-11T22:50:17.444055Z digest=sha256:489d2fbde7db2e15fa47956b3dd59f7160c737cc00190589f6b7803ced58eaae

Observation 6d808e2c-be73-4bfd-806d-14c0221054b4 · outbound

This paper cites Modularity for $\mathcal{W}$-algebras and affine Springer fibres.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Modularity for $\mathcal{W}$-algebras and affine Springer fibres

Reference 9

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source=pdf_text observed=2026-08-11T22:50:17.449278Z digest=sha256:f65f72530a4e34029fcd1ec89b59e5009b55eb9b326f3eeafc798a579532c740

Observation e9b0f852-7f1c-4d6d-ab64-35f52c41d1c1 · outbound

This paper cites Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters

Reference 10

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source=pdf_text observed=2026-08-11T22:50:17.453895Z digest=sha256:61b652ddb1af44e23dd337164944ed1f7ad471e747093032622feda909fb385f

Observation 5bfaa2be-b85f-467c-9c9b-89e82d4c0d87 · outbound

This paper cites From $S^1$-fixed points to $\mathcal{W}$-algebra representations.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch From $S^1$-fixed points to $\mathcal{W}$-algebra representations

Reference 11

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local_arxiv, observed 2026-08-11T22:50:18.372372Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.458588Z digest=sha256:6f31dd4c034e7390f16eea54b0223067687bd9286d0f36001c8eb9287a559780

Observation 4ca7eca9-b682-4d60-8f7a-f3e62a035b85 · outbound

This paper cites Mirror symmetry for circle compactified 4d $A_1$ class-$S$ theories.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Mirror symmetry for circle compactified 4d $A_1$ class-$S$ theories

Reference 12

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source=pdf_text observed=2026-08-11T22:50:17.463114Z digest=sha256:7f38b22cf4634aed3170f621e09c6257c21acf2fbe6e89e9df7187cbfe5c23b3

Observation a49b1d17-7d66-4816-96ba-37a179bbc446 · outbound

This paper cites N=2 dualities.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch N=2 dualities

Reference 13

Resolution
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no resolver link, observed 2026-08-11T22:50:17.467588Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.467588Z digest=sha256:0e7a16b9baedb8e14c5e24199f6bd873c5a77dc6e0a8be003f84d9f5f6f41d3e

Observation 4e652fcc-7747-497e-a375-b4b6c3bcd100 · outbound

This paper cites Wall-crossing, Hitchin Systems, and the WKB Approximation.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Wall-crossing, Hitchin Systems, and the WKB Approximation

Reference 14

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source=pdf_text observed=2026-08-11T22:50:17.472374Z digest=sha256:c41eb3b9935ebfd6e29922dee33fade5c28034b3b91b2ade02692fd4b3075c00

Observation 0835b70f-1d4b-4b6f-b042-79ac2c01724a · outbound

This paper cites On 2d TQFTs whose values are holomorphic symplectic varieties.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch On 2d TQFTs whose values are holomorphic symplectic varieties

Reference 15

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source=pdf_text observed=2026-08-11T22:50:17.477038Z digest=sha256:8fa0217c67e0497db41e8e7aa9d6067d72ae398c0a579ee6f860d16d1144f0be

Observation e9e7eef3-68b5-4a34-a670-79d156d64322 · outbound

This paper cites Surface defects, flavored modular differential equations and modularity.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Surface defects, flavored modular differential equations and modularity

Reference 16

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source=pdf_text observed=2026-08-11T22:50:17.481532Z digest=sha256:12c7a6ad5aef56fae13bde6f4a358b13d378246a74b5d2cffa0fbf98710e3fc2

Observation 905fa89a-fa12-4da1-92e6-14f2629cdaf1 · outbound

This paper cites Flavored modular differential equations.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Flavored modular differential equations

Reference 17

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local_arxiv, observed 2026-08-11T22:50:18.282713Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.486242Z digest=sha256:a9ddaf842647a0be30aa32d36695c98ca8db4c7720dbb847a123f948b7f7558b

Observation 670bf1ac-b04d-4516-a134-e35b90569a81 · outbound

This paper cites Quasi-lisse vertex algebras and modular linear differential equations.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Quasi-lisse vertex algebras and modular linear differential equations

Reference 18

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source=pdf_text observed=2026-08-11T22:50:17.491014Z digest=sha256:90b0ae0d3f11e4253afc6dd165bfecabfd2bb09aab470dc2403c352a115b6f9d

Observation 66e1b4cb-e31a-4c69-a9e5-f5c16806aa45 · outbound

This paper cites Surface Defects and Chiral Algebras.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Surface Defects and Chiral Algebras

Reference 19

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source=pdf_text observed=2026-08-11T22:50:17.495494Z digest=sha256:5bc54e35361e25afe06f652952c2629985ee50489dd4fece23be7dc7d5dc3f15

Observation 6230596a-5f5b-4640-9d88-5492dd641e45 · outbound

This paper cites Infrared Computations of Defect Schur Indices.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Infrared Computations of Defect Schur Indices

Reference 20

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source=pdf_text observed=2026-08-11T22:50:17.499987Z digest=sha256:9d5230c104de5302d5f39aafa565882ef8adb920cc0d0a165f2f6549eaf8251b

Observation 9ae01c5c-ac6a-4fa7-b7d9-5363671cdc8d · outbound

This paper cites The exact Schur index in closed form.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch The exact Schur index in closed form

Reference 21

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source=pdf_text observed=2026-08-11T22:50:17.504969Z digest=sha256:11e667a3e9d8af1439b9bdb543e221cc9e1bc3c6a5a540726f5a8d7af14000c3

Observation a1a874fa-e83c-495e-986e-5f39b254be27 · outbound

This paper cites $\mathcal{N} = 2$ Schur index and line operators.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch $\mathcal{N} = 2$ Schur index and line operators

Reference 22

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source=pdf_text observed=2026-08-11T22:50:17.510199Z digest=sha256:7bfec27a5d678c3f782bd828943e7590644ddcfd0fbb524afb809b3f5675d28b

Observation a3885ea0-e094-42fd-b7aa-cb69e371427a · outbound

This paper cites Modularity of Schur index, modular differential equations, and high-temperature asymptotics.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Modularity of Schur index, modular differential equations, and high-temperature asymptotics

Reference 23

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source=pdf_text observed=2026-08-11T22:50:17.514518Z digest=sha256:be6d511ab51b185e75c1871f4182ef781bfd66cbfaffa203c33e18cab06d943d

Observation da2bc942-556c-4346-aa63-cd510bcd25de · outbound

This paper cites an unresolved cited work.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work

Reference 24

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.519291Z digest=sha256:7a4a5d9bf9646878d252c6b6fc2449d61d1cf0fc57f1209bc283c578c92254b5

Observation 63fbda78-c3f1-4a36-9005-688ce8476336 · outbound

This paper cites an unresolved cited work.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work

Reference 25

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.523597Z digest=sha256:622d2274ae2bd41a1806670790fe4bf795d800ed82fd55492884f47151eabb74

Observation 9371737d-7412-41c4-badb-9c7ef46753a2 · outbound

This paper cites Nasatyr and B.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Nasatyr and B

Reference 26

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raw_fallback, observed 2026-08-11T22:50:18.702338Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.528185Z digest=sha256:61eeddb7be9aab7857388b3d9546b4e7050f4fed7a9d466f8bcd80f449f5987a

Observation b38535f1-1407-4b8a-bc87-09d387c296e9 · outbound

This paper cites Hausel and F.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Hausel and F

Reference 27

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raw_fallback, observed 2026-08-11T22:50:18.688074Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.532402Z digest=sha256:66408c857301dc876c1a4b97a96b6eeb3ff6dea8fbfb4d80ac08dfbe2d33562d

Observation fe09054b-ff49-4aa2-87e9-d217708ab428 · outbound

This paper cites The 4d Superconformal Index from q-deformed 2d Yang-Mills.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch The 4d Superconformal Index from q-deformed 2d Yang-Mills

Reference 28

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source=pdf_text observed=2026-08-11T22:50:17.536640Z digest=sha256:aa4a99abdd60449e9ab4e80e35a1a9ef6a0d02bb589109142001707d71200c0f

Observation 10d279dc-6ca9-4b60-b787-5a71728ca120 · outbound

This paper cites Gauge Theories and Macdonald Polynomials.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Gauge Theories and Macdonald Polynomials

Reference 29

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no resolver link, observed 2026-08-11T22:50:17.541371Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.541371Z digest=sha256:73743cb43d5c5824cfcbb5fa12c35d7859f69f03d14ace28eb446d797406d632

Observation fba67964-8fa7-42ba-80b2-62998b1c098b · outbound

This paper cites Bootstrapping the superconformal index with surface defects.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Bootstrapping the superconformal index with surface defects

Reference 30

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no resolver link, observed 2026-08-11T22:50:17.546013Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.546013Z digest=sha256:823f6b1840155ad197ead3064190c8a156c3549ac092977d12d9a4e174fc0a3e

Observation 0ce36489-5fb3-4732-b928-1c664a626994 · outbound

This paper cites Surface defects, the superconformal index and q-deformed Yang-Mills.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Surface defects, the superconformal index and q-deformed Yang-Mills

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-11T22:50:18.134063Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.550741Z digest=sha256:070e32d677379671dc686aa248acd4dcf81cf6863fe772f0ecc1aac5d74d57a5

Observation 1791e872-ed94-4de9-8347-72e49e78e1a1 · outbound

This paper cites On the Correspondence between Surface Operators in Argyres-Douglas Theories and Modules of Chiral Algebra.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch On the Correspondence between Surface Operators in Argyres-Douglas Theories and Modules of Chiral Algebra

Reference 32

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source=pdf_text observed=2026-08-11T22:50:17.555439Z digest=sha256:8948a71ef02e91ea78babec3174d10b77e60b01acbfa875d5f01da98189d951c

Observation 26f1ce83-0aac-460b-afb9-a27c3548f58b · outbound

This paper cites We only concern ourselves with the one of the lowest order.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch We only concern ourselves with the one of the lowest order

Reference 33

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verified fuzzy
raw_fallback, observed 2026-08-11T22:50:18.673200Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.560077Z digest=sha256:a267dd104805241b98c3871217e6e85f077c7c1f5819166d0d02fa2350c83533

Observation 14bf800f-0243-4280-a233-4889dd822374 · outbound

This paper cites an unresolved cited work.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work

Reference 34

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unresolved
raw_fallback, observed 2026-08-11T22:50:18.658205Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.564757Z digest=sha256:9966fb60d31ca092e8b95fe2b026c55fe64203400d47a34fd4904fa6a9d8625c

Observation a14d181e-82ba-47f7-839f-f61221c7f77a · outbound

This paper cites an unresolved cited work.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work

Reference 35

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unresolved
raw_fallback, observed 2026-08-11T22:50:18.644380Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.569278Z digest=sha256:a993834d8a15d166dfe70a9ae4603f916d057842c9f885c6e9f95c2892a526bc

Observation ec015132-cdd9-4c35-ba4c-d7117335b86e · outbound

This paper cites an unresolved cited work.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:50:18.629509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.573634Z digest=sha256:9f2a71168b420f650f1a96dc673e7a9f73aba870fe2bf3d1444f588efbb05a06

Observation 479b3c6c-09ae-4bee-9c5a-23cbd3bea462 · outbound

This paper cites Garc ´ ıa-Prada, P.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Garc ´ ıa-Prada, P

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:50:18.615712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.578940Z digest=sha256:98e758d4746ae01bb22caf5abf90da02da31f3ef1eeee37f8e704ccfa7517385

Observation c882e1a6-3682-435f-9041-ab39f050a78a · outbound

This paper cites Deligne, Th´ eorie de hodge: Ii, Publications Math´ ematiques de l’IH´ES 40, 5 (1971).

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Deligne, Th´ eorie de hodge: Ii, Publications Math´ ematiques de l’IH´ES 40, 5 (1971)

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:50:18.601042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.583819Z digest=sha256:e3b4964d2f3c48d90b5e63815c5debfd2f684ed4ee35646376b1530db2813d51

Observation db0c8670-3a55-4391-8135-234c9d13502b · outbound

This paper cites Deligne, Th´ eorie de hodge: Iii, Publications Math´ ematiques de l’IH´ES 44, 5 (1974).

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Deligne, Th´ eorie de hodge: Iii, Publications Math´ ematiques de l’IH´ES 44, 5 (1974)

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:50:18.585777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.588053Z digest=sha256:d22f3bd1158f64413867d0e87e4d0520ff01039dfc9aa840b5fafe4f6a82f324

Observation ace0a611-66dc-4a93-869f-7a1e618cb0e7 · outbound

This paper cites Hausel, E.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Hausel, E

Reference 40

Resolution
verified exact
doi, observed 2026-08-11T22:50:17.713420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.592491Z digest=sha256:494ad447f02e52e684f419a33c6fbed4d53e8c8c7eda88a9ca57422edef39c67

Observation 728e3bfa-33f2-44fb-84e4-19f41b16a511 · outbound

This paper cites an unresolved cited work.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:50:18.571324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.597149Z digest=sha256:ae812d831a87008a8343648163849bcd5acd86a5dfd3ead0a799fdd83cc97e68

Observation 1514eaf5-928e-422a-a722-7c3db8d00483 · outbound

This paper cites an unresolved cited work.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:50:18.556800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.602442Z digest=sha256:906091079634acf58fc8a2930ad6fc9d03795543e3dd7b0b3fb347510acab8be

Observation c71bb2d8-3b54-4971-b72b-aed8cf2b6125 · outbound

This paper cites Additionally, there is an additional accidentalU Sp(4) symmetry at the level of associated VOA [44, 45].

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Additionally, there is an additional accidentalU Sp(4) symmetry at the level of associated VOA [44, 45]

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:50:18.541181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.607143Z digest=sha256:3c9abb47fa93270ac4769bd4caac1f7d4c96a6caed4a03e78d88967c260b2cae

Observation fe374104-1257-4d2d-b142-d31c82035ab7 · outbound

This paper cites The Chiral Algebra of Genus Two Class $\mathcal{S}$ Theory.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch The Chiral Algebra of Genus Two Class $\mathcal{S}$ Theory

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-11T22:50:18.099013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.611550Z digest=sha256:772fc918b2e59e652b10d724555509b9f5689002a6f1849e69b99c969c07bd8d

Observation f69be549-a2ef-4f9f-9b0b-669e2e258dc5 · outbound

This paper cites A geometric free field realisation for the genus-two class $\mathcal{S}$ theory of type $\mathfrak{a}_1$.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch A geometric free field realisation for the genus-two class $\mathcal{S}$ theory of type $\mathfrak{a}_1$

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.617089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.617089Z digest=sha256:669ee25b6c18f187ea11b1ec8477685202f9960ecc45d2d62556a421caaaa0e1

Observation 5957fded-c553-4a6f-8d69-fe851bc59765 · outbound

This paper cites However, we are unable to show the modules here to be irreducible.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch However, we are unable to show the modules here to be irreducible

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:50:18.526801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.622388Z digest=sha256:39f5ec07b8ed05c741c287e45e752fe79b55eed1cd8bb42d13f093392305bf6c

Observation e610799a-013e-46fd-8953-06918ab4afc2 · outbound

This paper cites Schur Indices of Class $\mathcal{S}$ and Quasimodular Forms.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Schur Indices of Class $\mathcal{S}$ and Quasimodular Forms

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.626465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.626465Z digest=sha256:b96adfccde8fe5320a547960fa52aa05de51c368c8cc53688ef11db8872455ed

Observation fde48f76-044e-4049-91ba-6b7e92cf27a3 · outbound

This paper cites A note on representations of some affine vertex algebras of type D.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch A note on representations of some affine vertex algebras of type D

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-11T22:50:18.052421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.630979Z digest=sha256:56e2c419099338afceb9ef5b4c690c1865e9db634ff3e6c612f1a9d13ab3a8e5

Observation 6dd9481e-48dc-4ff4-b292-6be524b2fa5f · outbound

This paper cites Joseph ideals and lisse minimal W-algebras.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Joseph ideals and lisse minimal W-algebras

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-11T22:50:18.032725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.635486Z digest=sha256:d7a6399e2aff1a7b94fbcd6c47dd6a29a085b751a8ee1ef353ab3a4ff8570ce1

Observation 4de05cd2-f364-43ed-8119-885a270ea99c · outbound

This paper cites Spectral flow, twisted modules and MLDE of quasi-lisse vertex algebras.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Spectral flow, twisted modules and MLDE of quasi-lisse vertex algebras

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-11T22:50:18.012723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.640240Z digest=sha256:e15c28de0e1748058704593f8fedc8a62354ba7baea8bd66c416c62b0d5aed51

Observation 2d24a24e-1694-4050-9a93-f863bfde68b5 · outbound

This paper cites A realization of certain modules for the $N=4$ superconformal algebra and the affine Lie algebra $A_2 ^{(1)}$.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch A realization of certain modules for the $N=4$ superconformal algebra and the affine Lie algebra $A_2 ^{(1)}$

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-11T22:50:17.992799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.644722Z digest=sha256:22f709f5be16a5daff2181d83baea90df0ae0c21bbc2732227d1557cf36dfbfc

Observation 91cc7676-a37b-4d88-9ba5-72f77d584500 · outbound

This paper cites VOAs labelled by complex reflection groups and 4d SCFTs.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch VOAs labelled by complex reflection groups and 4d SCFTs

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-11T22:50:17.972652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.649145Z digest=sha256:14ebdbe917980f230b4e08e0ca0b8e65dc720d56136bba327a070da5d00ed794

Observation af681305-c29d-4486-b1d2-4e7baffa770c · outbound

This paper cites Hilbert Schemes of Points in the Plane and Quasi-Lisse Vertex Algebras with $\mathcal{N}=4$ Symmetry.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Hilbert Schemes of Points in the Plane and Quasi-Lisse Vertex Algebras with $\mathcal{N}=4$ Symmetry

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.653742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.653742Z digest=sha256:50256f6275f1bc11b3829d99810f2e421552e386d98bfbc71553b6c5db29bd5b

Observation af0f5301-3ccb-4b22-b4d9-8278475788f7 · outbound

This paper cites Beem and S.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Beem and S

Reference 54

Resolution
verified exact
raw_fallback, observed 2026-08-11T22:50:17.940382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.658635Z digest=sha256:b472db9f75da41f55732d797efefa556cc32def713bbcc93ff482691f30e8a8d

Observation 41e49758-de26-4b97-b7bd-9ecc262737ad · outbound

This paper cites Free field realisation and the chiral universal centraliser.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Free field realisation and the chiral universal centraliser

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-11T22:50:17.863974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:50:17.662560Z digest=sha256:5212bb1f36cdea9c5355603e8e5b3e70ef0a08da24b459dcb63b9da470d37492

Observation 79d0f199-072d-4833-8816-24b9b48d86f0 · outbound

This paper cites Free field realizations for rank-one SCFTs.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Free field realizations for rank-one SCFTs

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.667014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.667014Z digest=sha256:73b35c6cbada59df6d1503ce135fe846fe33e0dab0a2195bc9b817603f81ec91

Observation a8af16a1-c3a0-4ae8-93fc-8c1380775a6d · outbound

This paper cites Higgs and Coulomb branches from vertex operator algebras.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Higgs and Coulomb branches from vertex operator algebras

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.671524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.671524Z digest=sha256:57e627524e45177e6fe3b0c0eb8c9ec891232783c9f0d91a5ce8d18e9c176e80

Observation 13231420-2f6d-4c6f-a990-ed5d5a9bc297 · outbound

This paper cites Beem and A.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Beem and A

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.676522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.676522Z digest=sha256:c36215d65e71c329b968912524e350e95c19c6d48b35306f2f9622dacd66fb1e

Pith citing papers

No inbound Pith citation observations are available.