Twisted Logarithmic Modules of Vertex Algebras

被引：0
|
作者：
Bojko Bakalov
机构：
[1] North Carolina State University,Department of Mathematics
来源：
Communications in Mathematical Physics | 2016年 / 345卷
关键词：
Vertex Operator; Product Identity; Vertex Operator Algebra; Local Collection; Vertex Algebra;
D O I：
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中图分类号：
学科分类号：
摘要：
Motivated by logarithmic conformal field theory and Gromov–Witten theory, we introduce a notion of a twisted module of a vertex algebra under an arbitrary (not necessarily semisimple) automorphism. Its main feature is that the twisted fields involve the logarithm of the formal variable. We develop the theory of such twisted modules and, in particular, derive a Borcherds identity and commutator formula for them. We investigate in detail the examples of affine and Heisenberg vertex algebras.
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页码：355 / 383
页数：28
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