Pith. sign in

Paper Citation Record · LEDGER

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

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.

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 2026-08-12T06:34:41.77262+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

  • verified exact12
  • verified fuzzy8
  • unresolved38
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.407886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.407886Z digest=sha256:d9994b8ee1fb63210fcbe0c98f2fe135bba79867bde670c2da3c98f6fde2c082

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.413645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.413645Z digest=sha256:8067c8b4718549591488d793ad2e7635d0a2fd0b29b9a6a0fdcb15d6a74b731f

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.418552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.418552Z digest=sha256:8a7666f03669b36c36e9932ea8f1b723d4d8cc5feeaf7fbfb606b549b81277a7

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.423462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.423462Z digest=sha256:0a754751b4120922fed584cfbaa38c2666bd61c8a5291f18c42b5b23d90c3046

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.429496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.429496Z digest=sha256:5cc27c6066422b82788cf7b4707313812f65d4b9413312af52564b84ffc524e0

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.434374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.434374Z digest=sha256:dd23ea6564000b2fcbea734389a9fdbd540799372e8fb69f612cd447f62ad8f0

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.439438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.439438Z digest=sha256:3d4b9a0ba804435c0fd54e5a9879969c075d48e0d97de1ca65447304a3df4015

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.444055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.444055Z digest=sha256:d5e9f6f623de76ee781ab05fcbe8becc1d13b6066e0ea8974a320ae05d59002d

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.449278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.449278Z digest=sha256:1b22019522725d996195ea495d63b2e2a4635f9745766fa871735da9e4c1489c

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.453895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.453895Z digest=sha256:935a26ffaf1477f4168125526602b08ac57ed0862af7c018f447ae450760e353

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

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

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.

source=pdf_text observed=2026-08-11T22:50:17.458588Z digest=sha256:a325dd1ce810e9b82ea3026ddbfb115ef8e6ec0e8dd3ccd69724805241b92fdc

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.463114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.463114Z digest=sha256:0da6083d54ff57beac1e2eec7a8d3daf62801c34e06a1537450ae07bc3953ed9

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.467588Z digest=sha256:75813a305df91e0f43a649797b0e6a23b28a977a1e9500957be65df3df7fc42f

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.472374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.472374Z digest=sha256:5fbe4c693a0429640c601c1f88f83fe2f854ba93dd079c9afbae0fe7a643a704

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.477038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.477038Z digest=sha256:40258653deaf7875f8fd8c6276ce92c303db43658ce78ea346ba69422f21e471

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.481532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.481532Z digest=sha256:7e2bb4f734c3c9d0fd4916055910224583f3b56576a583556f05a045af0a4bc5

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

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

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.

source=pdf_text observed=2026-08-11T22:50:17.486242Z digest=sha256:b6bf2a44e9286a73a528f0871874ceea45c38dabcb2444736ece267a9cf7474b

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.491014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.491014Z digest=sha256:b3682458b9ded8ff79c08764acd5bb9a8058a55944a37630c65701ba8ff38dba

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.495494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.495494Z digest=sha256:558df4c1087daf76e35f0e341eef755055dcc8f70eb0643368b32117344b958d

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.499987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.499987Z digest=sha256:46401510f07f964e0e6d58daa8b6edb4ec159d8cd369e30b2bca8e150247ea75

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.504969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.504969Z digest=sha256:7391e77ad2bd6f84f5678a0b0f51f49380b7d1e67f13499c4dceaa4f3805896d

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.510199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.510199Z digest=sha256:9a7c1c4d978910127396f9d8d65f79ce7b114ac0020f3d3179ba83f24d6e80ed

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.514518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.514518Z digest=sha256:d16a9c2bc14e80e0f94b7046f9fade556f8d7617f78ad84f1b487a962cb04bb7

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

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:50:18.728552Z

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.

source=pdf_text observed=2026-08-11T22:50:17.519291Z digest=sha256:b8a5a4a579089d20c13a17a350188211b893091ddf4334fef41ac575b9d34d3b

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

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:50:18.715385Z

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.

source=pdf_text observed=2026-08-11T22:50:17.523597Z digest=sha256:d084ef93498b5ff65f2d7a114d89c8532e7aeb0740af88d791a27f6c74b1f0ea

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

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

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.

source=pdf_text observed=2026-08-11T22:50:17.528185Z digest=sha256:16e322e8784e3847f3304ca8dcad387b74af7608f36ca3641d95f6e572f1b6ff

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

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

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.

source=pdf_text observed=2026-08-11T22:50:17.532402Z digest=sha256:dc8c0a4ab360deac540b24c1b1e40e9668ef831d92851ae2989047310423d56f

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.536640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.536640Z digest=sha256:2be2b12c2537e274f418124a0c7c9c99ae607297b590001ac3167ffa7463f7fe

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.541371Z digest=sha256:a1b13ddcd9b103db31faa1cfaf39e1c1eafbd8070089c7997dec839033f2c9fb

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.546013Z digest=sha256:6e1601814e6b55ade41b75d1bf22cc7b6649edd4433abd2c9d655f7aed7a9c3f

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

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.

source=pdf_text observed=2026-08-11T22:50:17.550741Z digest=sha256:30acaf6665fcaebd85cd061a2d9c072eb1014351dc66dbd6f122e4ae23c32961

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

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.555439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.555439Z digest=sha256:b860889c0fb71d055ffd26c3be7a0fa78af9d0313d0945762ce823264368c54d

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

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

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.

source=pdf_text observed=2026-08-11T22:50:17.560077Z digest=sha256:57938f4e3d39a40a5fc2d29080742f83f1ff9eeaf8d857e479e8a013d9f5d890

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

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

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.

source=pdf_text observed=2026-08-11T22:50:17.564757Z digest=sha256:bcc8486070b0160a4f3734e5e7331ad776a60519f1dd413cd83f36070e1e4806

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

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

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.

source=pdf_text observed=2026-08-11T22:50:17.569278Z digest=sha256:ac1a780dd9e42bd717efb22aed45d5e9f0e2dcd79d203101b8655bfcdec9809e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.573634Z digest=sha256:8387fac5100822769f8b426c8f87febfe635a4a4240370a412b6cadd938194e1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.578940Z digest=sha256:b93512816417674f1516b3f6d1781da031d100c9c74e1c374002c5e112429538

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.583819Z digest=sha256:8207b0f618da7bfdfbf3ca2bb94b27f1b2c17318f2c216bbaa1476845d5c41fb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.588053Z digest=sha256:4b40bbfe415bc5417c5303b88c0e053e080b7629855958cfc703810b7ada5c0f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.592491Z digest=sha256:ebafde7ac3f5c6b1abd40738ee1bf9d42cbf24ede8667937de780a317a83d9ad

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.597149Z digest=sha256:5c10ae7520585eedd247be297175291f3a3e6b480adf9d54af179574ecd233a0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.602442Z digest=sha256:e09a3bc73ea2c0752f19e8d960f5dd9d60039e1f4182543a1e69a8a0d1fe179d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.607143Z digest=sha256:c0610978af32559425593c4cd8048db5bce043f86e2db73f066423dbdd087e55

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.611550Z digest=sha256:08eb8bb9877bbc3e58f047a4a5160f1ac44a93e619c3476ad16ea8447f0d9b94

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=sha256:6ab8e1bcc084f8a758ce9494fc296a6f4c02509873b0593b914f378a0d2221d3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.622388Z digest=sha256:d9f2e991e02ca4c7ba51314e7e9df505f755c70f7a176dfaaaa4566c80a94e17

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:b8b27e944c78ebbb90d70a89ff81aff747910f4b92ce134b9143ec4c88a0e2e2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.630979Z digest=sha256:5922b27f93d53aec660897b963dfe62cb1d0a0c82d90898a5977c03b877009e6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.635486Z digest=sha256:d13b0f2fb078f2a526d84c213cc6a5f69c78ad120ff02e1dd79546a767e1ca3a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.640240Z digest=sha256:04710e5716942689c5773e4f6f6cb1da0f192702575f68785fa26029461f2011

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.644722Z digest=sha256:d39de9e15719ee6e7e1884064dd400e6e4104377ca2ec14b1ad4894ace3d236f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.649145Z digest=sha256:7b92308264ff2d8943da2373f6dc6f007e66b63a9902d123ac241b44f2e276cb

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=sha256:6f7ab8e63820fd1cb77f5f40e7043494c43c11e42d5c5998c8c2999743bcb4f6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.658635Z digest=sha256:a41d29acbc5716b2a698dfa368c8d3cc4c3275dd467dda0285543023a9aa6b39

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:50:17.662560Z digest=sha256:206cf452619175692272daf361d489e843d7661518f43d51c036a20dd3fe336f

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:fe665fd2586452e5691c8b77e7042ee8ed9c58cc884be82653dd32b17c53d9f0

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=sha256:621693806beaef1097723291a6d4b0110e85266b0a70d327887509737750203f

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=sha256:7420e1ae09a910bac17b6c2229f8e5564bc1e646b40ae68dedecfc1da48a1ff3

Pith citing papers

No inbound Pith citation observations are available.