Twisted Heisenberg-Virasoro vertex operator algebra
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Publication:5109018
DOI10.3336/GM.54.2.06zbMATH Open1479.17048arXiv1612.06991OpenAlexW2995297517MaRDI QIDQ5109018
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Publication date: 7 May 2020
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1612.06991
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