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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 21 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation 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 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:29:05.729319Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T23:29:06.412963Z

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
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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=sha256:4a800503c8a6469cd7fbb43009d7805ddc8c4a5b9f47ffec716b0e09eb9477a9

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
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.413645Z digest=sha256:c0621c7043a1ae220ba7548cc1808c39098124c357993d72604723ba2b21f20a

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
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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:d6dda8906fe033e9c11f806331366b9294b8f7312f98694e08f4fadee677c2e8

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=sha256:7ec692be1166a5b08bc0a8d243edc27081d9737d0df42b091aa7f62bb8b6a5c4

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=sha256:5e08f5b17c4b5f3427eacc68b55fe052efc6ab7e27a42e09f1985fcccac1f894

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
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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=sha256:69592b819bd30567491fdf09e754caff0680d82f46e53e7517123d21f20e724d

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=sha256:4855d481ab3d2e2d791d69c3478baafe06a8583b0d29d4e06d46586a894b7f87

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:e289813c3c896caea4cdadd3d3fa3c25ff059603663f25566a5ae6aa5af027cb

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=sha256:06eb37ede0bdda38e4e8030944595ceea0820c042123f261fc56566a6565641f

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=sha256:385c02db2522f08a4110ec18336f962c3761c180c8ad9f5aebdaaf969e927f00

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.458588Z digest=sha256:ae862cac575b4c8c438f8406aa71e73db19887a36d10ce5adfd136461acb0551

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
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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:dafa5aa4f6cacafa010daaa048974db40f7e1821c5dbcac9e6794a1891801c67

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:bd4a3aaadcb52adb3a3885263c8d2292adaa5650704c49bfa9b64f01294c4297

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:a75bb314b3eca2c2ea7e5c526ccf560d98340ed0765054670722e7e0092f5d27

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.477038Z digest=sha256:20b5ce00932b7bf295b2f47634f286efd5cd58b8abe2a1d6894896de9be63d93

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.481532Z digest=sha256:0cd9eeb4ad2d15234ba87686d09e53f00a5a3a7512c60e9e8d1ac96926f27a94

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.486242Z digest=sha256:407bff6016ae7fe2e57bc578ff8efd483ffdf8bd04799401db6e79a3a3d9d791

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.491014Z digest=sha256:b2f41a75830860df425edea4ea47fb91c4f631d4a9ccd27224ce0218de50ef59

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.495494Z digest=sha256:592706fb297037fc3b7008179d6c5662d0af61baa53a0cd28b0519d7daed3255

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:d3110f03b379de7f6328e7a99d9389a9c2df10ea378e03d59d37b7a6ceaeb47e

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.504969Z digest=sha256:68605935681a3d95628a80092b8c0512e38c7c72a06d9221068cdf3dcd2a8278

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.510199Z digest=sha256:d87d5f14512b1cc82db5e48a1fd7427f4e52958da7ed4c4b40e8ceed94ed295a

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.514518Z digest=sha256:b86a176fd26fba3eb7fa98a8f4fab466f7575c1fca5816887183aa92d1a50101

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.519291Z digest=sha256:42dda2ff08c452c4c5871fa2eeda6583d813bba32653096def2e9624d52b5676

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

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.523597Z digest=sha256:8978e668d7369992860fbc3c5f3ba1050d2f7f8fb48a2be63b2aa5995371dd4c

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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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.528185Z digest=sha256:23a9636d1f304491ab56c2975978407c5178881ea3cd86b0fb3a1b42088cfe4c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.532402Z digest=sha256:c68a095e9d57e7d389387dc4b8f13a66cdf43b22691b31af21c550629a06eacb

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:c3e62e43297db8a80101faa048d6d0ecaa959e5dc2970b260d877ca6857b5de5

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.541371Z digest=sha256:393270064eeb589ca2e68d93a8fea6286698257a021fa41fe845beafc3111856

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=sha256:54b30a65f6aaff44c260f281bec955868c897da4ae482f682f11726705384daa

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.550741Z digest=sha256:4d8dedfec17ab97d6899628899aac5d8656d93cbcc90dcd2b5b0f01f189fe83c

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=sha256:5eca6c0a9488bc8fb30f6bc323cc065bbb719a0d62655acd855d1a694ffc28f4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.560077Z digest=sha256:89c79e293e53cc6e43c2b681908a1732668c6ebb9491ff828693d7eca773c82b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.564757Z digest=sha256:1c3e4ff52db16a2a74c96a3f7832f0d60759eee70fbcfaab8099945a555c0aae

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.569278Z digest=sha256:e54d5e3e78f8eb4bfb777b8eca909acd2e776df18df499fe3cfd7720ccef5be4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.573634Z digest=sha256:745f834e1d2b6a404813a947a8ffea9a2d96229a497f349498ddbf8e52f6f4bf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.578940Z digest=sha256:4586c7692110c3f5fa20afae0933ece9fc5e48d0de35487b25a469f0f40f8161

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.583819Z digest=sha256:cc49b936da951299265a2c537761dbf4925798836488793466022b3e0bd9089b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.588053Z digest=sha256:fd661fcc595584128e0acaa81820e0281a1387210fbb1d260824d60fcbb23e95

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.592491Z digest=sha256:75a77ff0026e8b2e8189e9e5d51f48cb60e4c18c0b0970b5bae94d1064af660d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.597149Z digest=sha256:f20b7c48a12d4eea949688ecd83f9883e3302d66a4aeb8c2e68ba12e8ae95a0b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.602442Z digest=sha256:807db4340725cb156c341c884604312f4f183806fd4426699009c4e2e8562ff4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.607143Z digest=sha256:5719a873b6aef05ee72dff28dc60566e37f024b631a5032100efd21dc9cd454b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.611550Z digest=sha256:db0e59837457866e2ffa477df5e7d7bc7e26c935e7a4fa437e9e8b3703ebd2a8

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:bd6af5e4d9f372c31fe1f0ca36f04345af325f94f101bea39fea56e4226c9796

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.622388Z digest=sha256:fac1277ed2976a10c24d13d397f02331b9fdb17a17821673fbf4b6bde3952509

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=sha256:1e97fd114266d345f2dbaa44a63d036ce272e3e05eb98d2fb317e680b6d0048e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.630979Z digest=sha256:3c0815d78c462d5d4ac2767923ae54a03b440ef14859fa99cbe80fdff0c2a91b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.635486Z digest=sha256:06584e3b590879cd531db6892cd3f497f1911e5154859e89c52f339bf23bc886

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.640240Z digest=sha256:cf590c30102fcd105b6d489379e488c84e5eb8c6c4149da2af18a10eef20ac9d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.644722Z digest=sha256:3e2c496a0da3710a782d7d07b940c551c0a5cb3b2da53248639dd60c76266474

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.649145Z digest=sha256:0363fa3f603332073dd30606418c372bb52d6b777a5881540ab0d0328c9ca060

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=sha256:2fb4d299184069fd140b44aa9ca5c849593ad03802dbee86a77c9e9dc3c26eed

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.658635Z digest=sha256:81542207a280531e0d067ee1452e5279b3f486a88002c02e488e1397ca94bea5

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T22:50:17.662560Z digest=sha256:12d9c1736fa22274eecfdb0b55e4b68ab277f0a8f9865e5884605edd6d852670

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=sha256:5f5fa37b04a780d951b7579475f0885bb1fa60e9602c842982ce0cc67a07c277

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=sha256:460762c5d30f39625759ab358b1eb8f6b6c5e2ec92a3c33f7d4f32addd486373

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=sha256:5d525cd809b3035ea8bc9cfac43b064a0dd76fb23bb1925e9cfd9a96e23c66bb

Pith citing papers

Observation 0517482f-cf4e-4812-9985-b1c3c8faa897 · inbound

Modularity, 4d mirror symmetry, and VOA modules of 4d $\mathcal{N} = 2$ SCFTs with $a = c$ cites this paper.

Modularity, 4d mirror symmetry, and VOA modules of 4d $\mathcal{N} = 2$ SCFTs with $a = c$ Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-15T23:29:06.418250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:29:05.729319Z digest=sha256:d4ef83996df3820330190e8e2a4d404248486b763903bc8f98c0d45b0e0c6850