Twisted modules for toroidal vertex algebras

Twisted modules for toroidal vertex algebras
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环形顶点代数的扭曲模

DOI:
10.1016/j.jpaa.2015.09.002
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发表时间:
2015-03
影响因子:
0.8
通讯作者:
Wang Qing
Wang Qing
中科院分区:
数学2区
文献类型:
--
作者:
Kong Fei;Li Haisheng;Tan Shaobin;Wang Qing

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This is a paper in a series systematically to study toroidal vertex algebras and their (twisted) modules. Previously, a theory of toroidal vertex algebras and modules was developed and toroidal vertex algebras were explicitly associated to toroidal Lie algebras. In this paper, we study twisted modules for toroidal vertex algebras. More specifically, we introduce a notion of twisted module for a general toroidal vertex algebra with a finite order automorphism and we give a general construction of toroidal vertex algebras and twisted modules. We then use this construction to establish a natural association of toroidal vertex algebras and twisted modules to twisted toroidal Lie algebras. This together with some other known results implies that most of the extended affine Lie algebras can be associated to toroidal vertex algebras.
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