Twisted regular representations and bimodules in vertex operator algebra theory

2025/05/22 by Zhu, Yiyi · 1 citation
#17B69 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2505.16464

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.

Cited by

• Twisted ϕ-coordinated modules for vertex algebras and Zhu's correspondence theorem

Related

• Introduction to vertex operator algebras I
• Noetherianity of twisted Zhu algebra and bimodules
• Bimodules and g-rationality of vertex operator algebras
• Representations of vertex operator algebras
• The regular representations and the A_n(V) algebras