Higher level Zhu algebras are subquotients of universal enveloping algebras

TL;DR

This paper establishes that higher level Zhu algebras associated with a vertex operator algebra can be realized as subquotients of its universal enveloping algebra, providing a new structural perspective.

Contribution

It proves an isomorphism between higher level Zhu algebras and subquotients of the universal enveloping algebra of the vertex operator algebra.

Findings

Higher level Zhu algebras are isomorphic to subquotients of the universal enveloping algebra.

Provides a new structural understanding of Zhu algebras in relation to universal enveloping algebras.

Abstract

We prove that higher level Zhu algebras of a vertex operator algebra are isomorphic to subquotients of its universal enveloping algebra.