The irreducible modules and fusion rules for the parafermion vertex operator algebras

Ai, Chunrui; Dong, Chongying; Jiao, Xiangyu; Ren, Li

doi:10.1090/tran/7302

The irreducible modules and fusion rules for the parafermion vertex operator algebras
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by Chunrui Ai, Chongying Dong, Xiangyu Jiao and Li Ren PDF

Trans. Amer. Math. Soc. 370 (2018), 5963-5981 Request permission

Abstract:

The irreducible modules for the parafermion vertex operator algebra associated to any finite dimensional Lie algebra $\mathfrak {g}$ and any positive integer $k$ are classified, the quantum dimensions are computed and the fusion rules are determined.

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