A short construction of the Zhu algebra
Jethro van Ekeren, Reimundo Heluani
TL;DR
This paper presents a concise construction of the Zhu algebra, an associative quotient of a vertex algebra, and proves its associativity using elliptic functions, contributing to the understanding of vertex algebra structures.
Contribution
The paper introduces a novel, simplified construction of the Zhu algebra and provides a proof of its associativity leveraging elliptic functions.
Findings
Successful construction of the Zhu algebra using a short method
Proof of associativity of the Zhu algebra with elliptic functions
Enhanced understanding of associative quotients of vertex algebras
Abstract
We investigate associative quotients of vertex algebras. We also give a short construction of the Zhu algebra, and a proof of its associativity using elliptic functions.
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