Zhu's algebra, C_2-algebra and C_2-cofiniteness of parafermion vertex operator algebras

Abstract

We determine Zhu's algebra and C_2-algebra of parafermion vertex operator algebras for sl_2. Moreover, we prove the C_2-cofiniteness of parafermion vertex operator algebras for any finite dimensional simple Lie algebras.

arXiv comment30 pages

References in corpus (2)

• Coset Realization of Unifying W-Algebras
• Flatness of Tensor Products and Semi-Rigidity for $C_2$-cofinite Vertex Operator Algebras II

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