Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T18:31:50.272779Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 3 inbound Pith citation observations for arXiv:2509.10019.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T18:31:50.272779Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-29T11:26:34.913484Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-29T12:53:27.449290Z
73 of 73 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 383ed3b1-53f6-4e88-ba9d-cf1b4fd7bcef · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non-invertible flavor symmetries in magnetized extra dimensions
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6845aed3-2c49-4f5f-aa18-6c3b6e1ef76c · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Quantum aspects of non-invertible flavor symmetries in intersecting/magnetized D-brane models
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d83fe71-4bb2-47d4-b1e5-9667764a7ae3 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Yukawa textures from non-invertible symmetries
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23b0553e-bd4e-46db-a482-7bfafc3360e7 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds More about quark Yukawa textures from selection rules without group actions
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa7eea75-a638-4084-872d-b4e873e09d33 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Lepton mass textures from non-invertible multiplication rules
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c30e726d-70af-4879-bea6-e4735dbdfcb3 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Kobayashi, H
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8634a95d-6441-463d-804e-ee06dcb8df9e · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Radiative lepton seesaw model in a non-invertible fusion rule and gauged $B-L$ symmetry
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54a99355-eae1-4796-b663-4ccebf5c14aa · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds A radiative lepton model in a non-invertible fusion rule
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d5b0908-9be6-4129-a0e8-1301b8bc5bd9 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Three-loop induced neutrino mass model in a non-invertible symmetry
Reference 9
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Unavailable: canonical work link unavailable.
Observation c496ca7c-88d8-4a39-ba9a-8e460ce7a2db · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds A natural realization of inverse seesaw model in a non-invertible selection rule
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7db1fb2-c438-4a9b-8288-939010c3b0b0 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non-invertible symmetry as an axion-less solution to the strong CP problem
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f830716c-3bc8-437d-8495-611f1ec04559 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model
Reference 12
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Unavailable: canonical work link unavailable.
Observation cdcf9d96-6e82-45d6-a751-b9f903b9f813 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Suzuki and L.-X
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4f358a1-655a-490d-90b5-204f6511ebe5 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Matter symmetries in supersymmetric standard models from non-invertible selection rules
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93835065-36ec-4214-8364-e321c50942ef · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11a82e1d-3850-41d4-8e28-a9756fc923a3 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds An Introduction to Higher-Form Symmetries
Reference 16
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Unavailable: canonical work link unavailable.
Observation ab1ecbd1-dd18-43ee-8ba2-4f516df705c5 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds ICTP Lectures on (Non-)Invertible Generalized Symmetries
Reference 17
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Unavailable: canonical work link unavailable.
Observation aea076ea-a1f6-4856-bdc2-a4aa1ac10ce7 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Lectures on Generalized Symmetries
Reference 18
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Unavailable: canonical work link unavailable.
Observation 288b19b5-cc31-4d10-99d6-8825892cb19b · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0046a433-426f-4997-a493-826a9a06f9b9 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non-invertible Global Symmetries in the Standard Model
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1861b08-a8d0-4c35-bd04-022ef163e37d · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Neutrino Masses from Generalized Symmetry Breaking
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67ca1f84-34fc-4eff-8a26-25563679a4d3 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non-Invertible Chiral Symmetry and Exponential Hierarchies
Reference 22
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Unavailable: canonical work link unavailable.
Observation 79e78a56-75af-47d4-92eb-c9008e5362a9 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e6e7d9f-ad62-4c91-a370-18e660b78c56 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non-Invertible Peccei-Quinn Symmetry, Natural 2HDM Alignment, and the Visible Axion
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1d0c6d8-82f7-4c09-ab70-70462af6f6e3 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Dixon, J.A
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f71f56fd-13bd-4252-9801-d8e567d5189f · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Dixon, J.A
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e23436c1-d19d-4e92-8c69-3807224a46bf · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Ibanez, H.P
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 31dab61a-bffb-41da-a7f2-9e88c4389515 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Ibanez, J.E
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 70184600-661c-44e8-8112-5145d9da7134 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Constructing 5d orbifold grand unified theories from heterotic strings
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6240fbb2-22b4-46bd-a714-b3494dfb8675 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fad36dea-0de8-4827-80e5-b3cbc1ca52c2 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Supersymmetric Standard Model from the Heterotic String
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c473acc6-c569-4079-9fe8-7610acedce11 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Supersymmetric Standard Model from the Heterotic String (II)
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e070716f-d64d-4b2e-bad5-e6949192d30e · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3fa11b68-739e-47ed-8a93-de89dbe8752a · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds The Heterotic Road to the MSSM with R parity
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b53f5b2-374d-4802-b155-c8785d57a5c9 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Hamidi and C
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6b0d0b0-4ce7-4091-a183-a83dc2e7cffa · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Dixon, D
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11ce380c-84c2-4300-b91f-29ab21c479cc · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Burwick, R.K
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bfccf623-a62e-434d-852a-31af0c44229c · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Higher Order Couplings from Heterotic Orbifold Theory
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8871846f-e326-4a6a-8374-1bb9ec24950d · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Font, L.E
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 458d46d3-77db-4216-9fd4-ece57ce6453c · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds R-charge Conservation and More in Factorizable and Non-Factorizable Orbifolds
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6590bdab-dd5a-403b-8707-92a0ac85b840 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds A note on discrete R symmetries in Z6-II orbifolds with Wilson lines
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b91a40dd-2726-4803-af71-10792dda873a · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Discrete R-symmetries and Anomaly Universality in Heterotic Orbifolds
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 628881c4-dcb8-4335-9785-1b9279847921 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Dijkgraaf, E.P
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7196fd34-fa81-45c0-a25e-ded97e6d414e · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Stringy origin of non-Abelian discrete flavor symmetries
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b2695f7-16fd-453d-b9ff-46f167a80936 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 047995a8-9586-4081-aeb1-973440f250bc · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5df6961d-dcfe-4b06-a432-e919c87a76ba · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds On the Fate of Stringy Non-Invertible Symmetries
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 397c6c54-00a3-4dad-a93f-61732071ddbb · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds On a class of selection rules without group actions in field theory and string theory
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1b91fab0-32e3-4ca9-a2f4-5ea8aa598406 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Kobayashi and N
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 632fb046-b99d-4f13-b0c7-c6b619827849 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Kobayashi and N
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a681f0f8-cd80-45a9-881a-c3b36846a6b9 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Selection Rules for Nonrenormalizable Couplings in Superstring Theories
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0a8ab80-e739-4e97-9a82-d5877fe1c32b · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Cvetic,Suppression of Nonrenormalizable Terms in the Effective Superpotential for (Blownup) Orbifold Compactification,Phys
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f49c59f6-fe70-4a30-8f95-49743e55db8b · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Revisiting Coupling Selection Rules in Heterotic Orbifold Models
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2bf7fbe-cf0b-43e9-bd99-1155854646da · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Coupling Selection Rules in Heterotic Calabi-Yau Compactifications
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99665253-e21d-4fc5-8a6d-d66351d85b14 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Inoue, M
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c44831d-e396-4bab-8488-3fcfe5d92716 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Inoue, S
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e3f8220-c15b-4b3a-85de-f3b1f039e6ba · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Inoue and S
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5ff9feb-2ed5-488b-ab0a-a71667f8c6f5 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non Abelian orbifold compactifications of the heterotic string
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3340c2b-b197-4d0e-b422-fface8e2f577 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Classification of symmetric toroidal orbifolds
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98f4a23f-3434-4dc6-8129-f05b64a02791 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Heterotic non-Abelian orbifolds
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e2f15b29-1a08-4419-a198-b7b2d4ee5a6f · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Classification of Modular Symmetries in Non-Supersymmetric Heterotic String theories
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 236a4197-e1ef-44e8-b74a-21f5a8cd6d3b · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non-Abelian orbifolds of the SO(32) heterotic string
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3a622ddb-a469-4c52-8c4e-d1e982d3838b · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non-Abelian Discrete Symmetries in Particle Physics
Reference 63
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Unavailable: canonical work link unavailable.
Observation b31f677e-1f8b-4402-bace-885071d90b96 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Kobayashi, H
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5dce133b-e806-4e8f-ac30-2737cf274a2d · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Note on the space group selection rule for closed strings on orbifolds
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c89b5013-dd55-4fa7-acee-522536b9e153 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds On discrete gauging and non-invertible selection rules
Reference 66
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Unavailable: canonical work link unavailable.
Observation c3143a12-f712-4290-80a8-61deafcf62c4 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle
Reference 67
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Unavailable: canonical work link unavailable.
Observation 1c566102-66b5-496e-aef4-74b62ef51ec7 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Modular invariance and the QCD angle
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13401443-4f99-47a2-932c-e68926595a02 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds $A_4$ modular invariance and the strong CP problem
Reference 69
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Unavailable: canonical work link unavailable.
Observation 331c3420-d45c-4cb7-a2db-4b9d17ce05fb · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Finite modular symmetries and the strong CP problem
Reference 70
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Unavailable: canonical work link unavailable.
Observation 818fd7e7-0637-4893-b88d-14a776260214 · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Three-zero texture of quark-mass matrices as a solution to the strong CP problem
Reference 71
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Unavailable: canonical work link unavailable.
Observation b9dfb81e-3a2d-4077-b75b-fc91c13b198c · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Zeroes of the Neutrino Mass Matrix
Reference 72
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Unavailable: canonical work link unavailable.
Observation 522d0979-4318-4f61-8fc4-c24bba49c76d · outbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
Reference 73
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Unavailable: canonical work link unavailable.
Observation fffae536-518c-4e8b-bfdc-337269672eec · inbound
Dynamical CP Violation from Non-Invertible Selection Rules Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fefc3734-6782-4b01-be8c-4813afd995f7 · inbound
A General Prescription for Spurion Analysis of Non-Invertible Selection Rules Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation edf167c8-d325-4341-a762-2b32227523aa · inbound
More about modular symmetries and non-invertible properties in magnetized compactifications Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.