Twisted representations of vertex operator algebras associated to affine Lie algebras

JOURNAL OF ALGEBRA

卷:484

Article

Yang, Jinwei¹ 

[1] Univ Notre Dame, Dept Math, 278 Hurley Bldg, Notre Dame, IN 46556 USA

关键词: Vertex operator algebras;    Logarithmic twisted modules;    Twisted Zhu's algebras;    Affine Lie algebras;   

DOI  :  10.1016/j.jalgebra.2017.03.041

来源: Elsevier

【 摘 要 】

In this paper, we prove that the categories of lower bounded twisted modules of positive integer levels for simple vertex operator algebras associated with affine Lie algebras and general automorphisms are semisimple, using the twisted generalizations of Zhu's algebras for these vertex operator algebras, constructed in [13]. We also show that the category of lower bounded twisted modules for a general automorphism is equivalent to the category of lower bounded twisted modules for the corresponding diagram automorphism. (c) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free