Paper Citation Record · LEDGER

W-algebras as conformal extensions of affine VOAs

As of 17 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 3 inbound Pith citation observations for arXiv:2508.18889.

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

pith.paper-citation-record.v1
2508.18889 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:17:04.679137Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T12:06:18.731106Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T03:37:35.962587Z

Reference resolution

20 of 20 outbound references displayed

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verified fuzzy10
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External citation measurements

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Outbound references

Observation 115a14cf-0490-4340-9fd5-d5c3e612dd5e · outbound

This paper cites [AK+17] Dra ˇzen Adamovi´c, Victor G.

W-algebras as conformal extensions of affine VOAs [AK+17] Dra ˇzen Adamovi´c, Victor G

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:17:05.060747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 485326a1-94dc-4aea-9f08-3fe3d0c1bde6 · outbound

This paper cites W-algebras for Argyres–Douglas theories.

W-algebras as conformal extensions of affine VOAs W-algebras for Argyres–Douglas theories

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:17:05.042009Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 65e5ec31-b7ff-415c-8ea0-f561e427e8f3 · outbound

This paper cites The ADE Classification of Minimal and A1(1) Conformal Invariant Theories.

W-algebras as conformal extensions of affine VOAs The ADE Classification of Minimal and A1(1) Conformal Invariant Theories

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:17:05.023376Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c8f3784e-d870-4445-844b-59e44b092a29 · outbound

This paper cites Reduction by stages for affine W-algebras.

W-algebras as conformal extensions of affine VOAs Reduction by stages for affine W-algebras

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T16:17:04.656972Z

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Observation ef7233a9-be6a-4336-9084-d7243cd7bffc · outbound

This paper cites W-algebras with non-admissible levels and the Deligne exceptional series.

W-algebras as conformal extensions of affine VOAs W-algebras with non-admissible levels and the Deligne exceptional series

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:17:04.995094Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0a3886b9-a172-47a9-8f02-1804872cc4f9 · outbound

This paper cites Invariant Hermitian forms on vertex algebras.

W-algebras as conformal extensions of affine VOAs Invariant Hermitian forms on vertex algebras

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:17:04.986415Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6185b3d2-de58-49c1-8b34-40754aee31dd · outbound

This paper cites On rationality for C2-cofinite vertex operator algebras, arXiv:2108.01898.

W-algebras as conformal extensions of affine VOAs On rationality for C2-cofinite vertex operator algebras, arXiv:2108.01898

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T16:17:04.672781Z

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Observation 222ead4d-a2a6-4725-9ca1-d51616f39971 · outbound

This paper cites an unresolved cited work.

W-algebras as conformal extensions of affine VOAs Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:17:04.958273Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 877ed4ed-4d96-49c4-84e7-86fdefcff113 · outbound

This paper cites On low rank 4d N = 2SCFTs.

W-algebras as conformal extensions of affine VOAs On low rank 4d N = 2SCFTs

Reference 1994

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:17:04.967198Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 45975f0a-14fd-4168-98b1-2fe333233e4d · outbound

This paper cites Fusion rules and rigidity for weight modules over the simple admissible affine $\mathfrak{sl}(2)$ and $\mathcal{N}=2$ superconformal vertex operator superalgebras.

W-algebras as conformal extensions of affine VOAs Fusion rules and rigidity for weight modules over the simple admissible affine $\mathfrak{sl}(2)$ and $\mathcal{N}=2$ superconformal vertex operator superalgebras

Reference 1996

Resolution: unresolved; no resolver link, observed 2026-08-05T16:17:04.675659Z

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Observation eddbef83-589a-45c6-bf1d-6b86bf136ff9 · outbound

This paper cites an unresolved cited work.

W-algebras as conformal extensions of affine VOAs Unresolved cited work

Reference 2003

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:17:04.975660Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7831c228-0236-4081-99bc-d296ba73b0a3 · outbound

This paper cites A new quasi-lisse affine vertex algebra of type $D_4$.

W-algebras as conformal extensions of affine VOAs A new quasi-lisse affine vertex algebra of type $D_4$

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-05T16:17:04.621223Z

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Unavailable: canonical work link unavailable.

Observation 099a4c78-59eb-4264-9a8d-cbd00e1994df · outbound

This paper cites On lisse non-admissible minimal and principal W-algebras.

W-algebras as conformal extensions of affine VOAs On lisse non-admissible minimal and principal W-algebras

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-05T16:17:04.624892Z

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Unavailable: canonical work link unavailable.

Observation 6a9efe44-c298-4a7b-a72a-cf1fd5ca2dd1 · outbound

This paper cites Joseph Ideals and Lisse Minimal W-algebras.

W-algebras as conformal extensions of affine VOAs Joseph Ideals and Lisse Minimal W-algebras

Reference 2018

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:17:05.051296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1779a2b2-1b42-4131-9ef5-88fdb8fba7d2 · outbound

This paper cites Tensor categories for vertex operator super- algebra extensions.

W-algebras as conformal extensions of affine VOAs Tensor categories for vertex operator super- algebra extensions

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:17:05.014599Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ae628b6a-e871-4412-8547-48a678febc21 · outbound

This paper cites Gainutdinov and Ingo Runkel.

W-algebras as conformal extensions of affine VOAs Gainutdinov and Ingo Runkel

Reference 2020

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:17:05.032532Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 50482b36-78c9-4eb1-a1ac-59ab09b18b11 · outbound

This paper cites Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels.

W-algebras as conformal extensions of affine VOAs Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-05T16:17:04.650652Z

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Unavailable: canonical work link unavailable.

Observation 00909ae2-069a-4be7-9070-9ab349cf8f0a · outbound

This paper cites Tensor categories of affine Lie algebras beyond admissible levels, Math.

W-algebras as conformal extensions of affine VOAs Tensor categories of affine Lie algebras beyond admissible levels, Math

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:17:05.005775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 96562aea-1a85-4cd3-996d-3ecce3546875 · outbound

This paper cites Resolving Verlinde’s formula of logarithmic CFT.

W-algebras as conformal extensions of affine VOAs Resolving Verlinde’s formula of logarithmic CFT

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-05T16:17:04.638318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7db2dc2d-67d9-4185-aa90-8946c35c58ca · outbound

This paper cites Quasi-lisse vertex algebras and modular linear differential equations.

W-algebras as conformal extensions of affine VOAs Quasi-lisse vertex algebras and modular linear differential equations

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-05T16:17:04.628463Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 8984f281-7322-48f7-8ffe-4397cdd991ee · inbound

Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra cites this paper.

Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra W-algebras as conformal extensions of affine VOAs

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-15T01:20:47.430247Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 115f951e-609f-4eca-9ba4-c563e1987a40 · inbound

Associated varieties of simple affine vertex algebras at rational levels cites this paper.

Associated varieties of simple affine vertex algebras at rational levels W-algebras as conformal extensions of affine VOAs

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-15T01:20:47.430247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7c5d849f-824e-4936-958f-ae7f12910fbe · inbound

Associated varieties of simple affine vertex algebras at rational levels cites this paper.

Associated varieties of simple affine vertex algebras at rational levels W-algebras as conformal extensions of affine VOAs

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-02T12:06:18.731106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.