On C-2-cofiniteness of parafermion vertex operator algebras
On C-2-cofiniteness of parafermion vertex operator algebras
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关于parafermion顶点算子代数的C-2-余有限性
DOI：
10.1016/j.jalgebra.2010.10.015
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发表时间：
2011-02
影响因子：
0.9
通讯作者：
Wang, Qing
中科院分区：
文献类型：
--
作者：
Dong, Chongying;Wang, Qing
It is proved that any locally regular vertex operator algebra is C2-cofinite and the regularity of parafermion vertex operator algebras associated to integrable highest weight modules for affine Kac–Moody algebra A1(1)implies the C2-cofiniteness of parafermion vertex operator algebras associated to integrable highest weight modules for any affine Kac–Moody algebra. In particular, the parafermion vertex operator algebra associated to an integrable highest weight module of small level for any affine Kac–Moody algebra is C2-cofinite and has only finitely many irreducible modules. Also, the parafermion vertex operator algebras with level 1 are determined explicitly.
