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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 2026-08-07T06:34:17.273281+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=sha256:09fcced94fa974d1b669dceba6b58188ee9c95456f4e27ef446e7ed49057b2e0

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:b2c429cad7b7806eab829c9d6c4c6316e1e55ab8248188be58a0d2a146ff451b

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=sha256:5c79278a26c183bc70876ae44b4fd1b57cf7e951cac17b6c144880c5f1f0bada

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=sha256:7274bec2b1d9a39cd867534520ffa393e3395cbf181d63c92468c91e38aa08ad

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=sha256:324f6b58eecb0678e852d3beeb89f1a4215eeb7010a7c40e585113bc12c0c058

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=sha256:2c0246d8f12c742b84bc1483e506add309419f9cb49135124323b7512ec2c0ab

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:f76df6b12102e1b79657d8a90a2eeb20d15beb3688413d6fa4b7887a129b0e46

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=sha256:4c3071808025fd77c919510f95671a654e880c7db9f29f406fea4b73e2d45d1a

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=sha256:36054f01751cc76e724d56dbca355c6d92f2f7a3dfcf47b7fc0520197f63b72d

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=sha256:80fc079479c0c14c4c9aa612b9ec2f0c14f51b450fe721ce678534c27c3d02d1

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=sha256:0b5f60c68ff377f4e4a3893d5e1d65b64ecaff5a1d1e238c7a9941d808dbf050

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=sha256:737284f837a9ca58f5343c0a3e7d584edeca08eb7333d59593cf3eea95347adf

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=sha256:8e46872560347b7a9b74371c0e3b39519482a0f63ed4b6718d2a8dce97a36cdc

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:dd71c56c17a41087eb5225a02d2591a491968b61600a0510d8deb9b1f0840a88

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:34.787858Z digest=sha256:d545abf06fe942216cbeea40537220fa98450db1533d9f818923b29179c2647d

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=sha256:488f2a2d2f3911cac19b2b6e7643ce20241bc2c4798a5ab3652b29e8a1e4d60b

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=sha256:3ef4b7e0008dbc2804f3aa0e201d5ca10ae6affc5c88f04016fb6f699bb12c2d

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:c7ce6c46923abb661112bc4d8078b3e0723a78c58768c182185eba93d7e5e719

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=sha256:08c68a0926197c6d8edec035b9d9eca13a9b8b5d1c177bd9a4d1f20f14c49d8f

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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source=pdf_text observed=2026-08-07T15:33:35.424570Z digest=sha256:36a143ac9471b9af3295c0fa34a1fa20c7f04c652c822e9258b43db0f52db29b

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=sha256:520b372bb654c4797c99a41fa102e4b31c657897de2f6f28f2f2b930451c775c

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:c7e1030c0d7d8e4e2a1ec258b3178c6ec69eb0e4143e08fd9d2506e24d4c17ae

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

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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:af2dee444cc636f3e580aae3aa929bfeb60531bb43f2cade99fe4b4eb6bb5d89

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

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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=sha256:1004ef54cf50db218b4ba5fb9ea5dfacca097da1b0424efa3fad9bea5ff7043a

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:cc78aa09e5a3da4ada38bb0c9cb3db5ad5f1a792bc9a226ebeedb60ca27e114d

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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source=pdf_text observed=2026-08-07T15:33:37.328879Z digest=sha256:51bfc46c81144c42929a5489c1ccccb926e5d5229d53635df756191d215172d3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:37.446344Z digest=sha256:545a91d529949ac51c25a614198723ddc1432f80db461541f53db1b4da4e1dad

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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source=pdf_text observed=2026-08-07T15:33:37.525432Z digest=sha256:4776aa4c66747465d7d01da6889ba0e9cf4bb9c0ca9e49f8acda7349af13067a

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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source=pdf_text observed=2026-08-07T15:33:37.593601Z digest=sha256:e46dd2638e85a8b563eab63d5f693abe428ffda297b57372b01f4ca4186d5c20

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=sha256:26d9831f91044032b4fc8a3d77bdfef12406ffe725a0f6abc133e72bac71783e

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:a7b5367e70a2a40558bdf383f988e32146759aa5e87d0e1434f5d25523704621

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:37.944758Z digest=sha256:deec2c39b640e61e918932b077ef6340ec73c2faf9909923bcfc2db2d04c003e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:38.027560Z digest=sha256:36270203887ace602a615a9cd9ae59bad6176b2c32430b4b197796298129b806

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=sha256:258afcc02c5a8abdc07b29838063256fa07ed3ceb345a9ca3021722089b195a2

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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source=pdf_text observed=2026-08-07T15:33:38.273047Z digest=sha256:a4adb1f904163c4bbf43ff9fd4e2ebda2c8ff70f102549a06e33a7110fa32c2e

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=sha256:4688ac562d5f580d00cd4444a6471b8de33acdb45ff6d368eaa690569a806951

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=sha256:268b505f44998b971382f9c5afec66c06150fa8427b419acf263f5e9f2f1facf

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:bcc7436cb173326daf61b15acce97e86dc1798922214977b53bd671f0d86ad90

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=sha256:6dd138c20a1b01319727ca0f287fdf2b8ad7fb8e9aad03916b896b95a1b111e4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:38.982955Z digest=sha256:43c74be5759311bef3edd26b52ee82950f7936d15d30a2c39019c732ee6affa3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:39.115324Z digest=sha256:51d1e14b283afbb5c122668ee89479f787ef4c6ab75abb85a7484de43ab03b20

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:39.260596Z digest=sha256:669bbf19cb6609bdf6866fc052fc3a2af0f6b7ac20024849479f8921e43d2213

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=sha256:5c65c69185cc50296180ee6972bb3ec139cb67f8da7a430bd964598da0c54875

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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no resolver link, observed 2026-08-07T15:33:39.478397Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:39.478397Z digest=sha256:04b2da737485e92bacd7aa279216fe480a2698fb1c8c4dfa482d5605b3c5a623

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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source=pdf_text observed=2026-08-07T15:33:39.639475Z digest=sha256:b8d8848f5b5cb53f8e1ed575f64b46bf3fbf920f7fda217965148a6a4c68fbc4

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=sha256:15d35d4bc404aba60a77b31a7572994da711505c3c5215a04c1e04eb57e2ae83

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:39.900133Z digest=sha256:85c5fdd02b672a44d4303e4edcea29adcc3d940136c6e9d49f1950d509069cab

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:40.015373Z digest=sha256:39244cff5ff422506345ddc71f6dc3bdd4c002ad0fee674211aa727c0ab0c9a0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:40.136059Z digest=sha256:b0514c7ecf5cd3dd36c226c1d5f79bdc3f98e1f5c9fce535aa97f16c2fb4edb5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:40.271779Z digest=sha256:692ca1836f54da0b9db2f09f5b980a155477747ed03fe0448fa21f848bba8c7f

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

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:40.467512Z digest=sha256:aa6eadf47656fe9b0017fa0c788e6b584caf788b7844026786ed5430cded8b1c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:40.611099Z digest=sha256:18125bae23bbaf0ac8f56dd3d14a55c7767b358ab42203b977b5355e8040f44b

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

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:40.726445Z digest=sha256:d96b17c4932dd32a1d9d99b2a754ff6cc4890de780c564c19b044802616e0834

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:40.895094Z digest=sha256:5a44c42867c12a339a3288ccdac84d06832c94b5a8751ac91a710911a823ebbd

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:41.023023Z digest=sha256:b8d71958087b8843489a8676c0e230a43722269a2be05698da0ed01310913680

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:41.196140Z digest=sha256:a03ad0b84ba5c6efbcbac9209632ae25e4863a20ede2efd80cab927b6587a83b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:41.345789Z digest=sha256:c325aac8d41688accac6ec6ff95d150abe0662ff8cd82656fecd0db12d86dee8

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=sha256:96a0d46312f73e604d85a8c8741e825b50b5179008473944beaaa0b599ca9d1e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:41.710845Z digest=sha256:6eb79b45c78ede623f99a0c8c22a75c6423f127d8b90ae7f88d4223bd73dc7e0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:41.843944Z digest=sha256:d1d34904d8f6a76c7f1a81e172431064d6889503b62ede1cb2e75fb5084d75ce

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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unresolved
no resolver link, observed 2026-08-07T15:33:41.999458Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:41.999458Z digest=sha256:78b1800c75248d384ece2af6f39c92b51966d666898f43696c3c68a90a47e654

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:42.175248Z digest=sha256:ccaee9f733396cece478b991cc2a287ef1d85eac314f2f966daaec3365e80261

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:42.346179Z digest=sha256:61191814d45b5d4d29d0ca7be29480b32d6f2289eda7fdb31e5296b5329a635f

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

Resolution
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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=sha256:355219b73d8180b14d28ad8e855b439e0fe8a5940509f441d789d567de085abe

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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unresolved
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=sha256:4c2a8b50f28d6db2be7a7bad6bba40963130dd684a0d025a2334ee8019a1fcf3

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=sha256:0fa7622d29a2509b0bf1913272dd225fc7e6706b3e164d2922967a5f042b5747

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:42.891533Z digest=sha256:86d12c73fe4e0e6cedf41dd33b690060b7f82f9ae9479e28e2ed36135789e2b4

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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:33:42.993779Z digest=sha256:e1bc84586d8d64d85f6493b29b5e8f574742af17e9dfda277c070ddc80b08c12

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=sha256:468d4a6d520f9a527eba74b00c1df01f3cec0f8c02ac96022d7530c09337afd1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:43.171156Z digest=sha256:66d3fad327d55323f982adc0099ec5dfa06f9756081cc697adf6c7379bc830c8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:43.278412Z digest=sha256:4d421fd7c17b8e68ae8891fe0700c802f0a5884ae6b7b0496df433a1a34ac735

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:43.444118Z digest=sha256:de546591f36b23019d09280ef64de3b8904a0693ad0f5f92c4f58018bb2d2eb2

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:33:43.580688Z digest=sha256:9f49bdf49c64433a7443bb35cebefcf6dd8cd94dcada45410293b3e1663f7a7d

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=sha256:847495174fbb519f50a71cfca9c489ddda9b3fa9d353c91d129e4e0de893c1f1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T10:41:18.439231Z digest=sha256:b0a28794ba0dffb24ec6884d5e83382273b1189aa9ffc7dbc15a9dc786fe88ce

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=sha256:36085a06c67db9ee536d889d7597201dd1a084431398cbfef14162b96b85db24

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-01T01:51:12.904701Z digest=sha256:d7abae0508a5b837eeb10b87d15945efc4e962fd07f27a2baf54648599468032