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arXiv · 1203.4024

A generalization of twisted modules over vertex algebras

Kenichiro Tanabe
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Abstract

We introduce a notion of a (V,T)-module over a vertex algebra V for an arbitrary positive integer T, which is a generalization of a twisted V-module. Under some conditions on V, we construct an associative algebra A^{T}_{m}(V) for m\in(1/T)\N and an A^{T}_{m}(V)-A^{T}_{n}(V)-bimodule A^{T}_{n,m}(V) for n,m\in(1/T)\N and we establish a one-to-one correspondence between the set of isomorphism classes of simple left A^{T}_{0}(V)-modules and that of simple (1/T)\N-graded (V,T)-modules.

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Kenichiro Tanabe. 2013-12-17. A generalization of twisted modules over vertex algebras. https://doi.org/10.2969/jmsj%2F06731109

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