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Paper Citation Record · LEDGER

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices

As of 8 August 2026, this Paper Citation Record lists 74 of 74 outbound references and 3 inbound Pith citation observations for arXiv:2505.14962.

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

pith.paper-citation-record.v1
2505.14962 v2

Coverage vector

measured 74 of 74 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:33:43.580688Z

measured 77 of 77 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T16:15:02.864911Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T12:45:44.132838Z

Reference resolution

74 of 74 outbound references displayed

  • verified exact24
  • verified fuzzy6
  • unresolved44
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb2341a0-8934-4e00-992b-ee89f0662fd8 · outbound

This paper cites 3-Manifolds and 3d Indices.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices 3-Manifolds and 3d Indices

Reference 1

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source=pdf_text observed=2026-08-07T15:33:33.091328Z digest=sha256:e6bf010260a4c28f5a2078f2f10497e13d19615a7e364b92e996f7e2165c92f7

Observation 5c83837f-fa1e-4ff5-b18c-566ecaf9c8a6 · outbound

This paper cites Line Operator Index on S1 $\times$ S3.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Line Operator Index on S1 $\times$ S3

Reference 2

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source=pdf_text observed=2026-08-07T15:33:33.178476Z digest=sha256:153fe104bebbdcf21516d751a95dca679d314da519e78010205ba7c5870d6cf8

Observation 61f71089-a306-48fa-b265-bc680e54de47 · outbound

This paper cites Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory

Reference 3

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source=pdf_text observed=2026-08-07T15:33:33.317705Z digest=sha256:1798780cdf0d3228902cd18d59795f65df17b014746afcf17df5e5c6db587efb

Observation 011b6487-373d-4988-a7ee-3c9df926269f · outbound

This paper cites Confinement of Quarks,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Confinement of Quarks,

Reference 4

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source=pdf_text observed=2026-08-07T15:33:33.417046Z digest=sha256:dd9e1c6af79fd7d14c48b4a5ed140a6878992f640521d5e1f7a5375e637473cc

Observation 95c67c23-89d2-46f3-828e-58754e8657f8 · outbound

This paper cites Wilson loops in large N field theories.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Wilson loops in large N field theories

Reference 5

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source=pdf_text observed=2026-08-07T15:33:33.513295Z digest=sha256:6edf6dc205f0c27e1d2f0312fdadaee766a7e8bf7479db0cf91be526e3f9e60c

Observation f0f495e3-47db-4a3a-a7a9-a0881a195d98 · outbound

This paper cites Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity

Reference 6

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source=pdf_text observed=2026-08-07T15:33:33.659901Z digest=sha256:7927c65111dd7d0b4ad8e0562adcc817b5b27a626d6b8be3b2812deea8e79290

Observation 6dcb0996-12ef-46c3-af49-713353342f22 · outbound

This paper cites A Simple Formalism for the BPS Monopole,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices A Simple Formalism for the BPS Monopole,

Reference 7

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source=pdf_text observed=2026-08-07T15:33:33.770375Z digest=sha256:19e7e500312c49f8945d37dfa268fe3dfb01fa6acdf3e976a189dc33e86a28db

Observation 0502d9d5-2b76-411b-86a0-7f495c6c4de5 · outbound

This paper cites D-branes, Monopoles and Nahm Equations.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices D-branes, Monopoles and Nahm Equations

Reference 8

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source=pdf_text observed=2026-08-07T15:33:33.903479Z digest=sha256:00720bc2a9f36bc1f89aa43f3ddb3ae9b39e1e36972e0d68cd9a60984ccc7529

Observation c397eb08-2bf1-4105-bdb0-d4b2173b3add · outbound

This paper cites On the Phase Transition Towards Permanent Quark Confinement,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices On the Phase Transition Towards Permanent Quark Confinement,

Reference 9

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source=pdf_text observed=2026-08-07T15:33:34.009175Z digest=sha256:4621e54564107a4f828ac5b5d61c7eaed09fbf66b8040c3f53d967e8ddf403b2

Observation c23a4b54-b087-48ab-a68b-5e9b77c7e4b9 · outbound

This paper cites Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality

Reference 10

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source=pdf_text observed=2026-08-07T15:33:34.118698Z digest=sha256:30ef89ea6a0793b4caf23f1fba1b1b51c9d037da22f88c886faf0d8548efdf78

Observation 4922517f-892c-4edd-b462-223b978290e0 · outbound

This paper cites Electric-Magnetic Duality And The Geometric Langlands Program.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Electric-Magnetic Duality And The Geometric Langlands Program

Reference 11

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source=pdf_text observed=2026-08-07T15:33:34.260984Z digest=sha256:96e05625d993e0c28b30efa90f1d7ad03a7ddfb20f24c865fe9040c59d1c060f

Observation 4ff3b7f9-0865-468e-ba3b-2f7cdc33278f · outbound

This paper cites Knot Invariants from Four-Dimensional Gauge Theory.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Knot Invariants from Four-Dimensional Gauge Theory

Reference 12

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source=pdf_text observed=2026-08-07T15:33:34.420355Z digest=sha256:54e8050f8d53649677164deeaee5648af2e9793dc958d39437d55012041b613e

Observation 68612f33-a2f2-49c1-adaf-444d5879e8e7 · outbound

This paper cites Fivebranes and Knots.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Fivebranes and Knots

Reference 13

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source=pdf_text observed=2026-08-07T15:33:34.517751Z digest=sha256:f66da4e17daa9cbfa30b4a3b7b1fb04df0060be15505962f86305e78f7f5928c

Observation 9ced621f-0cdd-4264-b981-28d5ac01f1bc · outbound

This paper cites S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory

Reference 14

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source=pdf_text observed=2026-08-07T15:33:34.651365Z digest=sha256:4f979d59e0daff42a3c5de2b93a93be96a5257d289053035f8bc8390f69dc88f

Observation f15a9b18-3f43-4872-8c52-5c58064ff866 · outbound

This paper cites Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills

Reference 15

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:34.787858Z digest=sha256:9bc2cbcad0122e6144ac2c0f48235151d92347df5938a7e6fea97e38da3aecb8

Observation 0e9b441a-5ba6-48fa-98c1-225dc3ba0ff2 · outbound

This paper cites Reading between the lines of four-dimensional gauge theories.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Reading between the lines of four-dimensional gauge theories

Reference 16

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source=pdf_text observed=2026-08-07T15:33:34.935600Z digest=sha256:62f0e6a14af713a9ccf91e9b52d29c88dd4b21b269b172c3f7287fce60f8130d

Observation 4add8e51-602b-437d-b680-cf9f46c39028 · outbound

This paper cites Dualities of Corner Configurations and Supersymmetric Indices.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Dualities of Corner Configurations and Supersymmetric Indices

Reference 17

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source=pdf_text observed=2026-08-07T15:33:35.085472Z digest=sha256:471b49ed99b4a766e8c5d1676f2c554ca41fe84393e9c80302aed3ecdedce15f

Observation aadb0559-623d-46dc-a55a-a7ff25fad883 · outbound

This paper cites Bootstrapping the superconformal index with surface defects.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Bootstrapping the superconformal index with surface defects

Reference 18

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source=pdf_text observed=2026-08-07T15:33:35.190866Z digest=sha256:f9022ad495261d61669e46af8e4ce3660aae441b4e5da7680f7bb61a432a456b

Observation 7a23720d-0df5-46ae-b108-58c3a5e2b356 · outbound

This paper cites Mirror symmetry of 3d $\mathcal{N}=4$ gauge theories and supersymmetric indices.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Mirror symmetry of 3d $\mathcal{N}=4$ gauge theories and supersymmetric indices

Reference 19

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source=pdf_text observed=2026-08-07T15:33:35.300387Z digest=sha256:a9dfc9b116309307fa5d8b8a2fd87b8b8572012359edf38dc1bd9cac673cace7

Observation 657a53fa-fd91-4260-99d7-a0295183a431 · outbound

This paper cites Bourbaki, Lie groups and Lie algebras.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Bourbaki, Lie groups and Lie algebras

Reference 20

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:35.424570Z digest=sha256:d81dfdd3edff30ab4fdf4614571fd0190e98c0f75a7d12a94c1c80262d9dd17d

Observation dcdbca03-dd37-4116-be41-e51e2b848b23 · outbound

This paper cites Orbifold ETW brane and half-indices.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Orbifold ETW brane and half-indices

Reference 21

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source=pdf_text observed=2026-08-07T15:33:35.576608Z digest=sha256:8f25a355eaedf0dada6c7656cf6dfb472f328fe272e6f50234fab93c522a7545

Observation 6688bc41-ca96-439c-8c47-08d5f82b7c12 · outbound

This paper cites $\mathcal{N}=4$ line defect correlators of type BCD.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices $\mathcal{N}=4$ line defect correlators of type BCD

Reference 22

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source=pdf_text observed=2026-08-07T15:33:35.685606Z digest=sha256:afc10940ee3fea97c963c4f015cc28333dfe7c08d68243113737a0b9d6439a46

Observation 46bd2fba-f811-4714-9548-0a3382e6949d · outbound

This paper cites an unresolved cited work.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-07T15:33:35.790376Z digest=sha256:3be250cac3574dd044870e462a415d51afeba8830130fc8e055c6f5d20bcb581

Observation 01e4c860-c7d7-412c-8744-f81f63c0c169 · outbound

This paper cites an unresolved cited work.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-07T15:33:37.089002Z digest=sha256:e9fe2b87beef741fce4eff9f34e2c48feaf5846887fe3f27c00b1a0a742a33b3

Observation 2ecfaae4-d084-4d2c-a45b-fb452f9fae25 · outbound

This paper cites Double affine Hecke algebras and Macdonald’s conjectures,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Double affine Hecke algebras and Macdonald’s conjectures,

Reference 25

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source=pdf_text observed=2026-08-07T15:33:37.223319Z digest=sha256:c0b9adf44ed319bac96ea730be9fe4737d36116ebcd0e9d60eb00aa3526756a5

Observation 99147f16-6b10-4864-abe9-9df66e506661 · outbound

This paper cites Macdonald’s evaluation conjectures and difference Fourier transform,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Macdonald’s evaluation conjectures and difference Fourier transform,

Reference 26

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no resolver link, observed 2026-08-07T15:33:37.328879Z

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source=pdf_text observed=2026-08-07T15:33:37.328879Z digest=sha256:7a6bb687643b4b9a837e28d76676e6b841ed53eb70ce4d3c6dd2ea0d7b9ddca8

Observation cc55c940-4add-468c-8067-5fa1e35bb97c · outbound

This paper cites Double affine Hecke algebras, Knizhnik-Zamolodchikov equations, and Macdonald’s operators,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Double affine Hecke algebras, Knizhnik-Zamolodchikov equations, and Macdonald’s operators,

Reference 27

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doi, observed 2026-08-07T15:33:45.764606Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:37.446344Z digest=sha256:eaa4ae76a0718743176f08f51d06512ff4bdc00ed3daac219b40f530a8d36594

Observation b6c7b35d-95c6-42bd-9214-0c38ed437d62 · outbound

This paper cites Nonsymmetric Macdonald polynomials,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Nonsymmetric Macdonald polynomials,

Reference 28

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:37.525432Z digest=sha256:dad2a84907e38210d72f6e1c2f34c354a0683054a8981f89b16a1c22dfe56c28

Observation 7a657a26-b029-41e6-9499-14d7466986c1 · outbound

This paper cites Intertwining operators of double affine Hecke algebras,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Intertwining operators of double affine Hecke algebras,

Reference 29

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doi, observed 2026-08-07T15:33:45.519090Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:37.593601Z digest=sha256:e0dcddbfe0e002ea87e5dfffbef1d3a06b343b80b10d98a414c86f7555235f51

Observation bbdcc55f-1349-4778-98c8-8d6fc7b8548a · outbound

This paper cites Some properties of Koornwinder polynomials,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Some properties of Koornwinder polynomials,

Reference 30

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source=pdf_text observed=2026-08-07T15:33:37.682936Z digest=sha256:8a26c7e76ae62212f90d7250d41bb8c64fed7796cb955ccbcf02b42ff6c3966d

Observation 84c5bd9b-50a0-4058-a535-1768492bb84c · outbound

This paper cites Nonsymmetric Koornwinder polynomials and duality,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Nonsymmetric Koornwinder polynomials and duality,

Reference 31

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source=pdf_text observed=2026-08-07T15:33:37.833230Z digest=sha256:312c8c631c6b88b8699eb5c72cf7542a6eebfc1e00b0e68807c497017f019eb9

Observation d3bde4de-8742-48a7-9a60-ae4cf824e5a7 · outbound

This paper cites Koornwinder polynomials and affine Hecke algebras,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Koornwinder polynomials and affine Hecke algebras,

Reference 32

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doi, observed 2026-08-07T15:33:44.989876Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:37.944758Z digest=sha256:07197874673897bd49a19adf77b9bbb4ebc923e47b303950690877db11829b4c

Observation a1e9ba86-cf13-4951-90ce-c7712c818668 · outbound

This paper cites Self-dual Koornwinder-Macdonald polynomials,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Self-dual Koornwinder-Macdonald polynomials,

Reference 33

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doi, observed 2026-08-07T15:33:44.776125Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:38.027560Z digest=sha256:78b7afe46a52ea0efd5d3c7674751d96d3a3470adac5b4d6092be3fd56008732

Observation 2f05e733-925c-47d4-8956-e2914fc6a4ee · outbound

This paper cites Line operators on S^1xR^3 and quantization of the Hitchin moduli space.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Line operators on S^1xR^3 and quantization of the Hitchin moduli space

Reference 34

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source=pdf_text observed=2026-08-07T15:33:38.143407Z digest=sha256:4ffcbdc477691d6250923696b203bf92230dd0eca5290dc7bbc3c0991d631c4c

Observation 2ba74afd-8778-4dab-8361-e5e10cbc8c26 · outbound

This paper cites On 't Hooft Defects, Monopole Bubbling and Supersymmetric Quantum Mechanics.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices On 't Hooft Defects, Monopole Bubbling and Supersymmetric Quantum Mechanics

Reference 35

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no resolver link, observed 2026-08-07T15:33:38.273047Z

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source=pdf_text observed=2026-08-07T15:33:38.273047Z digest=sha256:0e5c7c24cf26a4d3916c422ef0159977ce718db81b5119df7c1b2a833f5e6dfb

Observation ec2f8181-92a3-4d22-b1a5-1ebedb014093 · outbound

This paper cites 't Hooft Defects and Wall Crossing in SQM.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices 't Hooft Defects and Wall Crossing in SQM

Reference 36

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source=pdf_text observed=2026-08-07T15:33:38.431468Z digest=sha256:4bbda6f02fb2797e0bfb8f8f3bef53281763b5a66503dc2270c46b20bc466a01

Observation 6e891ccc-d971-4de4-b51e-7e3d0f7471fd · outbound

This paper cites Wall-crossing and operator ordering for 't Hooft operators in N=2 gauge theories.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Wall-crossing and operator ordering for 't Hooft operators in N=2 gauge theories

Reference 37

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source=pdf_text observed=2026-08-07T15:33:38.559701Z digest=sha256:1ce758e6356efb9dc3221f4ebd58bdd6bc50ceb3a96b748c3ad358218cb029a5

Observation d3e271f7-2670-4be6-a549-9dd250d9506a · outbound

This paper cites ABCD of 't Hooft operators.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices ABCD of 't Hooft operators

Reference 38

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source=pdf_text observed=2026-08-07T15:33:38.708943Z digest=sha256:bca5a3129e40087e2f0ea4b5f2b0756f7a8ad13a8eb4168cca2a945d43415254

Observation 2db17510-822d-49b1-ad88-eacad774a012 · outbound

This paper cites Holographic Interface-Particle Potential.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Holographic Interface-Particle Potential

Reference 39

Resolution
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source=pdf_text observed=2026-08-07T15:33:38.831997Z digest=sha256:44f3632020a322e01e383e9c2f6eb348357eb681137bc06b42fe65fae53a31be

Observation ac9ca55b-ce75-4b34-8684-6c7cff5c5eff · outbound

This paper cites Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:49.059569Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:38.982955Z digest=sha256:e308837c5ae94a7814240237ca993c0874fc14bd760ec1dc1839aa7070c19968

Observation 6252c4f8-dab1-46ec-91de-48c81e2966d6 · outbound

This paper cites 't Hooft Operators on an Interface and Bubbling D5-Branes.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices 't Hooft Operators on an Interface and Bubbling D5-Branes

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:48.821044Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:39.115324Z digest=sha256:e0a0670272ec0d8d3edf9f8bd97d99380a60551744e985e70f94c9595de7325b

Observation d970b79a-a989-4328-b8ce-08f6c60134f9 · outbound

This paper cites One-loop Wilson loops and the particle-interface potential in AdS/dCFT.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices One-loop Wilson loops and the particle-interface potential in AdS/dCFT

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:48.534234Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:39.260596Z digest=sha256:cc8d5384e0af66938807d11f2e3f5c2af86a35920e24fb8260bccc0421827013

Observation 5fd2765c-8823-44bb-98da-29ea865becc9 · outbound

This paper cites Circular Wilson loops in defect Conformal Field Theory.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Circular Wilson loops in defect Conformal Field Theory

Reference 43

Resolution
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source=pdf_text observed=2026-08-07T15:33:39.360004Z digest=sha256:1cdd6bcb8acab7617af18f2368044f8625ce5e894ad9fa9a34e9039577d96ece

Observation 501a0726-68ec-44ac-aa77-c6319ae0c57d · outbound

This paper cites Mapping out the internal space in AdS/BCFT with Wilson loops.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Mapping out the internal space in AdS/BCFT with Wilson loops

Reference 44

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:39.478397Z digest=sha256:e0e2f917bede02759e1b764c2f8d4d7117d1aef5f28dc811973f5e78f1afd5ff

Observation 103f8014-3885-45a3-829a-6bc3c5cfa7cc · outbound

This paper cites Double holography in string theory.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Double holography in string theory

Reference 45

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no resolver link, observed 2026-08-07T15:33:39.639475Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:39.639475Z digest=sha256:0a729930fb6129925ff48b8345e3abdf8a48f09c413c02242bdc1f09a22ae87d

Observation 76335931-9b34-4d5f-b19a-45523b4aea0f · outbound

This paper cites The holography of duality in ${\cal N}=4$ Super-Yang-Mills theory.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices The holography of duality in ${\cal N}=4$ Super-Yang-Mills theory

Reference 46

Resolution
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no resolver link, observed 2026-08-07T15:33:39.779703Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:39.779703Z digest=sha256:cb694c68110ebf6296397e6655839ac2eee4c31146ab1740f41b4073f7107698

Observation 067e43da-4887-4423-949e-6ef6313a659e · outbound

This paper cites The ${\cal N}=4$ Schur index with Polyakov loops.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices The ${\cal N}=4$ Schur index with Polyakov loops

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:48.317030Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:39.900133Z digest=sha256:61e778aac051c5ebb82e379d3661c048666eebeeac361f429a2fd3c43258533a

Observation 007f21c4-f494-408c-adfa-0f52b7b844ef · outbound

This paper cites Exact $\mathcal{N}=2^{*}$ Schur line defect correlators.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Exact $\mathcal{N}=2^{*}$ Schur line defect correlators

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:48.089567Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:40.015373Z digest=sha256:b5ba81a98cd63501cb535068b94a9a68b7d2507a1bacce2ee966522ec37a0e42

Observation 44e32911-e087-4c71-9438-9bb6f50410e7 · outbound

This paper cites Large $N$ and large representations of Schur line defect correlators.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Large $N$ and large representations of Schur line defect correlators

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:47.828225Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:40.136059Z digest=sha256:cfc8d19f8a2ebfaad3578cc220d0cdefd53f5a30bbe3a330592133184bb286f0

Observation 476b8603-abf6-4d56-bfb3-19e415cfa59b · outbound

This paper cites Excitations of bubbling geometries for line defects.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Excitations of bubbling geometries for line defects

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:47.540247Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:40.271779Z digest=sha256:b1295ffa7eb66c2ea1104b173db52b709a8746df83ff59aa2a95c2018b858bd6

Observation e6627ddc-bbb7-4cc9-99e9-c4725185dad7 · outbound

This paper cites Giant graviton expansions for line operator index.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Giant graviton expansions for line operator index

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:47.285237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:40.467512Z digest=sha256:22d45deea5ab47b6a6113ff6a556fbb1ce0b0791aa3d887f397a6927eca367d8

Observation 93baed2b-8823-4085-b372-6769e29fc08b · outbound

This paper cites Brane expansions for anti-symmetric line operator index.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Brane expansions for anti-symmetric line operator index

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:47.116599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:40.611099Z digest=sha256:75d3a5c3bfeb613a76d83df8f9201dc4300292973979f78de2f51da89154fd6a

Observation ce3f3603-f6b7-4c8d-ab16-c4e3eaa8c9c1 · outbound

This paper cites Schur line defect correlators and giant graviton expansion.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Schur line defect correlators and giant graviton expansion

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:46.853164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:40.726445Z digest=sha256:4a2e8b5a280e95bc17690978165ed88e821db0fe127172cec6837d6ab890f73a

Observation f3aea6fc-8726-4f9a-9e45-bf6a2e89af06 · outbound

This paper cites Leading Giant graviton expansion of Schur correlators in large representations.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Leading Giant graviton expansion of Schur correlators in large representations

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:46.588914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:40.895094Z digest=sha256:58177a68a08e13966663d0fb230cd51e5f964cd811a40a91586be42a753b263b

Observation 2a6f4a75-d799-4b9a-9771-0c2f23bb001e · outbound

This paper cites Giant graviton expansions and ETW brane.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Giant graviton expansions and ETW brane

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:46.405886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:41.023023Z digest=sha256:dc1293d3c3bc9f17b1f612aff090444a5eb818845202499014f2748960cdfbfb

Observation f609ae92-c99f-4f21-a3d2-31452efecb8b · outbound

This paper cites Giant graviton expansion for general Wilson line operator indices.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Giant graviton expansion for general Wilson line operator indices

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:46.242784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:41.196140Z digest=sha256:3f41f7c7cf9d053cbb17f6535ca38228b0654e605f35455ceadbcbc4a4082c18

Observation 75e1bf6f-6f35-4b43-8309-2e109dd8baa1 · outbound

This paper cites $\mathcal N=4$ SYM line defect Schur index and semiclassical string.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices $\mathcal N=4$ SYM line defect Schur index and semiclassical string

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:33:46.083354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:41.345789Z digest=sha256:d44bfafb03385977e46bf9a75738287ed56655fc035e9f57814a168729ccbefd

Observation 5cb5c4bc-08ea-482e-8088-ca37088a814b · outbound

This paper cites 3d exceptional gauge theories and boundary confinement.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices 3d exceptional gauge theories and boundary confinement

Reference 58

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no resolver link, observed 2026-08-07T15:33:41.531297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:41.531297Z digest=sha256:2a30a4037673444d71ec65b620076d324c13978a1194d46b49c0363c0743dd63

Observation 03832169-2826-441c-8090-c6a8d1b9e0ea · outbound

This paper cites Completely reducible Lie algebras of linear transformations,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Completely reducible Lie algebras of linear transformations,

Reference 59

Resolution
verified exact
doi, observed 2026-08-07T15:33:44.456772Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:41.710845Z digest=sha256:4661750a2eb45aeacb36ef172cd7d59a99c19ff4ad567513a2fd9166d4952bdf

Observation 63cb39cc-4442-4153-835e-a1458637853b · outbound

This paper cites A theorem on the nilpotent element in a semi-simple Lie algebra,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices A theorem on the nilpotent element in a semi-simple Lie algebra,

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:33:50.988264Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:41.843944Z digest=sha256:27210ceacb9e1af02865c97a8e651c7c4b698c7d872a6de152cb1ba428f5bf1a

Observation f8e520c5-edfc-4ef9-9592-bf5b8e0f238a · outbound

This paper cites The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group,

Reference 61

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source=pdf_text observed=2026-08-07T15:33:41.999458Z digest=sha256:8cb7d65f8ca1622cee26ec5b2869f42ee90b5ac629839c61625bf5704a1cb08d

Observation c5fed850-647f-4b86-889f-8dc714343cfa · outbound

This paper cites Magnetic Monopoles as Gauge Particles?,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Magnetic Monopoles as Gauge Particles?,

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:33:50.680854Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:42.175248Z digest=sha256:24a0f87096c2a0f6af194a1af22a011045e2fccf2e6cc970c20345ae397fd5f8

Observation 0d083829-9746-423e-a158-af3ddc170700 · outbound

This paper cites Mirror Symmetry And Loop Operators.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Mirror Symmetry And Loop Operators

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-07T15:33:42.346179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:42.346179Z digest=sha256:74f67099a3b32b9aff6412a1c76ea883eaf1446105400fe2255ca6c37db7788f

Observation 9613725c-9f9b-4c1a-8f12-853dc2fd1261 · outbound

This paper cites Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics

Reference 64

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no resolver link, observed 2026-08-07T15:33:42.489401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:42.489401Z digest=sha256:2a5d582a5959f2abd52343ffe5cd233e55e91c65ab8202c9c132c767c76c79d5

Observation 4e8bfdcd-49d8-4b3e-a0bb-e4f899f6f7e8 · outbound

This paper cites Wilson Loops of Anti-symmetric Representation and D5-branes.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Wilson Loops of Anti-symmetric Representation and D5-branes

Reference 65

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no resolver link, observed 2026-08-07T15:33:42.614774Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:42.614774Z digest=sha256:843f0022469101c56f22d2e07a9a86846b6b7e4781b4fb94f7eeeb00ffca5c4f

Observation e643b348-31c5-49ac-9ad6-4f74b9f3c81b · outbound

This paper cites Baryons And Branes In Anti de Sitter Space.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Baryons And Branes In Anti de Sitter Space

Reference 66

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unresolved
no resolver link, observed 2026-08-07T15:33:42.780252Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:42.780252Z digest=sha256:3dc9e17acb6937f2cd1b797250c922bc8dd030c0b609f3b663b5da7eb27b05f7

Observation bdee109f-ac57-45c4-bb83-edd80b9b0b0a · outbound

This paper cites Infrared Computations of Defect Schur Indices.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Infrared Computations of Defect Schur Indices

Reference 67

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unresolved
no resolver link, observed 2026-08-07T15:33:42.891533Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:42.891533Z digest=sha256:3650c465b468931bfe4420ae29b47ecb26b2dd14f65344412d08927ed209126b

Observation f4de64af-5838-4726-85c2-4e3e78c9f524 · outbound

This paper cites Fulton and J.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Fulton and J

Reference 68

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unresolved
no resolver link, observed 2026-08-07T15:33:42.993779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:42.993779Z digest=sha256:b92a319518d3b59a9c72129ee08b771d6ad774b6a83fdfb16cbe6f2876d374df

Observation 77a4a2d8-106e-4cc8-8d9a-1dcfc0a3dc92 · outbound

This paper cites Deformed Schur indices and Macdonald polynomials.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Deformed Schur indices and Macdonald polynomials

Reference 69

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unresolved
no resolver link, observed 2026-08-07T15:33:43.092614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:43.092614Z digest=sha256:85bf43a9172f0533893bdaa3a8eb87b1353e4bb92d5117ca28ef1078c391d8ae

Observation b43e2d3d-902b-423e-b3fc-cdf0829bce19 · outbound

This paper cites Disquitiones analyticae super evolutione potestatis trinomialis (1 + x + xx)n,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Disquitiones analyticae super evolutione potestatis trinomialis (1 + x + xx)n,

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:33:50.364556Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:43.171156Z digest=sha256:b7384345ed5d9e13edf9f719242709dd326ea0e81cd35f63ebb62f6f3d7ab2e0

Observation 824864eb-437d-4348-a20b-65af4efbe174 · outbound

This paper cites an unresolved cited work.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:33:50.126165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:43.278412Z digest=sha256:b45addab1afad517426d8f2389f2ea3432d8864a0e799996e06b5e28c95e24dc

Observation 49781b65-f996-4810-8d03-04239a334f43 · outbound

This paper cites Branching rules for Koornwinder polynomials with one column diagrams and matrix inversions,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Branching rules for Koornwinder polynomials with one column diagrams and matrix inversions,

Reference 72

Resolution
verified exact
doi, observed 2026-08-07T15:33:44.215184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:43.444118Z digest=sha256:101cfd7963f66f689100c29de46d874d2f9071c5426e07c2e72162d0249cd42a

Observation ed5901d2-87dc-47aa-b8f1-abb0f82fc6bb · outbound

This paper cites Macdonald polynomials of type Cn with one-column diagrams and deformed Catalan numbers,.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Macdonald polynomials of type Cn with one-column diagrams and deformed Catalan numbers,

Reference 73

Resolution
verified exact
doi, observed 2026-08-07T15:33:43.902919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:33:43.580688Z digest=sha256:5a4538e252bed9d66a75cd3100d8bf1013647bd85e3f922556a3e21a506b2006

Observation cd045a22-bf5a-4bfb-8d1a-e9e27a106170 · outbound

This paper cites Zelevinsky, Oxford Science Publications.

S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices Zelevinsky, Oxford Science Publications

Reference 1995

Resolution
unresolved
no resolver link, observed 2026-08-07T15:33:36.104834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:36.104834Z digest=sha256:bed1277b6e2fe35bce8065b018c2e154e39f2c3f69deab7d471b3dd7a1574b26

Pith citing papers

Observation 12d21a96-145d-40ac-ad8b-23bdb765e30d · inbound

Boundary lines and Askey-Wilson type moments cites this paper.

Boundary lines and Askey-Wilson type moments S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-05-10T10:44:37.737473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T10:41:18.439231Z digest=sha256:682aa2a051ce98a8bf544f7ee0c11998cd9ba717eda63f100e86c17a4f87325d

Observation a0b47fd8-abf6-45b4-a604-26719f9b5567 · inbound

Boundary lines and Askey-Wilson type moments cites this paper.

Boundary lines and Askey-Wilson type moments S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-02T16:15:02.864911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T16:15:02.864911Z digest=sha256:edeea7a53cda6b24f25a2fde21c6a89294e9e819475b026b9820f02fcdcac968

Observation 9692aca7-c234-416e-a48f-4a71b24c2ae6 · inbound

Half-BPS Boundaries and the RG-Wall of $\mathcal{N}=2$ $SU(N)$ SYM cites this paper.

Half-BPS Boundaries and the RG-Wall of $\mathcal{N}=2$ $SU(N)$ SYM S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices

Reference 72

Resolution
verified exact
arxiv_id, observed 2026-07-01T12:45:44.135038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-01T01:51:12.904701Z digest=sha256:935afe719f8c73953c14348f36ee2e85ff03d27ae6fd303fca8f0fc783186afe