4.6 Article

Rationality of Bershadsky-Polyakov Vertex Algebras

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 323, Issue 2, Pages 627-633

Publisher

SPRINGER
DOI: 10.1007/s00220-013-1780-4

Keywords

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Funding

  1. JSPS [20340007]
  2. Grants-in-Aid for Scientific Research [23654006, 20340007] Funding Source: KAKEN

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We prove the conjecture of Kac-Wakimoto on the rationality of exceptional W-algebras for the first non-trivial series, namely, for the Bershadsky-Polyakov vertex algebras at level k = p/2-3 with . This gives new examples of rational conformal field theories.

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