Twisted Heisenberg-Virasoro vertex operator algebra
Twisted Heisenberg-Virasoro vertex operator algebra
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DOI:
10.3336/gm.54.2.06
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发表时间:
2016-12
期刊:
影响因子:
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通讯作者:
Hongyan Guo;Qing Wang
中科院分区:
文献类型:
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作者:
Hongyan Guo;Qing Wang
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.