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arXiv · 2506.01321

Twisted associative algebras associated to vertex algebras

Shun Xu
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Abstract

Let $V$ be a vertex algebra and $g$ an automorphism of $V$ of order $T$. We construct a sequence of associative algebras $\tilde{A}_{g,n}(V )$ for any $n\in(1/T)\mathbb{N}$, which are not depend on the conformal structure of $V$. We show that for a vertex operator algebra, $g$-rationality, $g$-regularity, and twisted fusion rules are independent of the choice of the conformal vector.

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Shun Xu. 2025-06-02. Twisted associative algebras associated to vertex algebras. https://arxiv.org/abs/2506.01321

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