Original scientific paper

https://doi.org/10.3336/gm.54.2.06

Twisted Heisenberg-Virasoro vertex operator algebra

Hongyan Guo ; School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China
Qing Wang ; School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Abstract

In this paper, we study a new kind of vertex operator algebras related to twisted Heisenberg-Virasoro algebra. We showed that there exist one-to-one correspondences between the restricted module categories of twisted Heisenberg-Virasoro algebras of rank one and rank two and several different kinds of module categories of their corresponding vertex algebras. We also study in detail the structures of the twisted Heisenberg-Virasoro vertex operator algebra and give a characterization of it as a tensor product of two well-known vertex operator algebras.

Keywords

Twisted Heisenberg-Virasoro algebra; vertex operator algebra; modules

Hrčak ID:

229603

URI

https://hrcak.srce.hr/229603

Publication date:

11.12.2019.

Visits: 1.399 *