Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:50:17.676522Z
Paper Citation Record · LEDGER
As of 12 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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:50:17.676522Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
58 of 58 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 25459d13-f3cc-4097-9e10-acb7f8f73957 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Mirror Symmetry in Three Dimensional Gauge Theories
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6db2ae1e-6751-4db9-8cf0-1b08b6fd25b8 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c076e13b-1420-4de3-9389-f4a75e57b7cf · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1250a26-1b76-4a01-a496-855204216301 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Infinite Chiral Symmetry in Four Dimensions
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7aed71b6-90fd-488f-a4bc-cc087c6ff826 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0af510a-7351-4a81-a4de-3008c62759bc · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce81b1fb-af42-4790-9432-603290a0911d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36c8c039-ab33-4ddd-b6b8-0c6c5c6d70c6 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d808e2c-be73-4bfd-806d-14c0221054b4 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9b0f852-7f1c-4d6d-ab64-35f52c41d1c1 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5bfaa2be-b85f-467c-9c9b-89e82d4c0d87 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4ca7eca9-b682-4d60-8f7a-f3e62a035b85 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a49b1d17-7d66-4816-96ba-37a179bbc446 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch N=2 dualities
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e652fcc-7747-497e-a375-b4b6c3bcd100 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0835b70f-1d4b-4b6f-b042-79ac2c01724a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9e7eef3-68b5-4a34-a670-79d156d64322 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 905fa89a-fa12-4da1-92e6-14f2629cdaf1 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Flavored modular differential equations
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 670bf1ac-b04d-4516-a134-e35b90569a81 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66e1b4cb-e31a-4c69-a9e5-f5c16806aa45 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Surface Defects and Chiral Algebras
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6230596a-5f5b-4640-9d88-5492dd641e45 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Infrared Computations of Defect Schur Indices
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ae01c5c-ac6a-4fa7-b7d9-5363671cdc8d · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch The exact Schur index in closed form
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1a874fa-e83c-495e-986e-5f39b254be27 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3885ea0-e094-42fd-b7aa-cb69e371427a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da2bc942-556c-4346-aa63-cd510bcd25de · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 63fbda78-c3f1-4a36-9005-688ce8476336 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9371737d-7412-41c4-badb-9c7ef46753a2 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Nasatyr and B
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b38535f1-1407-4b8a-bc87-09d387c296e9 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Hausel and F
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fe09054b-ff49-4aa2-87e9-d217708ab428 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10d279dc-6ca9-4b60-b787-5a71728ca120 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Gauge Theories and Macdonald Polynomials
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fba67964-8fa7-42ba-80b2-62998b1c098b · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Bootstrapping the superconformal index with surface defects
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ce36489-5fb3-4732-b928-1c664a626994 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1791e872-ed94-4de9-8347-72e49e78e1a1 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26f1ce83-0aac-460b-afb9-a27c3548f58b · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 14bf800f-0243-4280-a233-4889dd822374 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a14d181e-82ba-47f7-839f-f61221c7f77a · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ec015132-cdd9-4c35-ba4c-d7117335b86e · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 479b3c6c-09ae-4bee-9c5a-23cbd3bea462 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Garc ´ ıa-Prada, P
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c882e1a6-3682-435f-9041-ab39f050a78a · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation db0c8670-3a55-4391-8135-234c9d13502b · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ace0a611-66dc-4a93-869f-7a1e618cb0e7 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Hausel, E
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 728e3bfa-33f2-44fb-84e4-19f41b16a511 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1514eaf5-928e-422a-a722-7c3db8d00483 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c71bb2d8-3b54-4971-b72b-aed8cf2b6125 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fe374104-1257-4d2d-b142-d31c82035ab7 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f69be549-a2ef-4f9f-9b0b-669e2e258dc5 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5957fded-c553-4a6f-8d69-fe851bc59765 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e610799a-013e-46fd-8953-06918ab4afc2 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fde48f76-044e-4049-91ba-6b7e92cf27a3 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6dd9481e-48dc-4ff4-b292-6be524b2fa5f · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Joseph ideals and lisse minimal W-algebras
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4de05cd2-f364-43ed-8119-885a270ea99c · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2d24a24e-1694-4050-9a93-f863bfde68b5 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 91cc7676-a37b-4d88-9ba5-72f77d584500 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation af681305-c29d-4486-b1d2-4e7baffa770c · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af0f5301-3ccb-4b22-b4d9-8278475788f7 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Beem and S
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 41e49758-de26-4b97-b7bd-9ecc262737ad · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 79d0f199-072d-4833-8816-24b9b48d86f0 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Free field realizations for rank-one SCFTs
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8af16a1-c3a0-4ae8-93fc-8c1380775a6d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13231420-2f6d-4c6f-a990-ed5d5a9bc297 · outbound
Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch Beem and A
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.