Sheets and associated varieties of affine vertex algebras

Abstract

We show that sheet closures appear as associated varieties of affine vertex algebras. Further, we give new examples of non-admissible affine vertex algebras whose associated variety is contained in the nilpotent cone. We also prove some conjectures from our previous paper and give new examples of lisse affine W-algebras.

The second part of Theorem 1.1 (1) has been modified, and the second part of Theorem 1.1 (2) has been removed

References in corpus (3)

• Infinite Chiral Symmetry in Four Dimensions
• Joseph ideals and lisse minimal W-algebras
• Introduction to W-algebras and their representation theory

Cited by in corpus (4)

• Vertex operator algebras of Argyres-Douglas theories from M5-branes
• Conformal embeddings of affine vertex algebras in minimal $W$-algebras I: structural results
• On the irreducibility of associated varieties of W-algebras
• Simplicity of vacuum modules and associated varieties