Twisted regular representations and bimodules in vertex operator algebra theory
arXiv:2505.16464 · doi:10.1016/j.jalgebra.2025.05.026
Abstract
In this paper, we use the twisted regular representation theory of vertex operator algebras to construct bimodules over twisted Zhu algebras, extending Haisheng Li's work in untwisted scenarios. Moreover, a conjecture of Dong and Jiang on bimodule theory is confirmed.