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arXiv · 1612.06991

Twisted Heisenberg-Virasoro vertex operator algebra

Hongyan Guo·Qing Wang
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Abstract

In this paper, we study a new kind of vertex operator algebra related to the twisted Heisenberg-Virasoro algebra, which we call the twisted Heisenberg-Virasoro vertex operator algebra, and its modules. Specifically, we present some results concerning the relationship 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 fully the structures of the twisted Heisenberg-Virasoro vertex operator algebra, give a characterization of it as a tensor product of two well-known vertex operator algebras, and solve the commutant problem.

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Hongyan Guo, Qing Wang. 2016-12-21. Twisted Heisenberg-Virasoro vertex operator algebra. https://arxiv.org/abs/1612.06991

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