On the nilpotent orbits arising from admissible affine vertex algebras

TL;DR

This paper provides a straightforward description of the closure of nilpotent orbits associated with admissible affine vertex algebras, connecting them to primitive ideals and enhancing understanding of their structure.

Contribution

It introduces a new, simplified characterization of nilpotent orbit closures linked to admissible affine vertex algebras using primitive ideals.

Findings

Closure of nilpotent orbits described explicitly

Connection established between orbits and primitive ideals

Simplifies understanding of associated varieties

Abstract

We give a simple description of the closure of the nilpotent orbits appearing as associated varieties of admissible affine vertex algebras in terms of primitive ideals.