On lisse non-admissible minimal and principal W-algebras

TL;DR

This paper explores the generalization of rationality results for non-admissible minimal W-algebras and applies it to identify rational non-admissible principal W-algebras.

Contribution

It introduces a new generalization of rationality conditions for non-admissible minimal W-algebras and demonstrates their application to principal W-algebras.

Findings

Established a generalized rationality criterion for non-admissible minimal W-algebras

Identified new classes of rational non-admissible principal W-algebras

Extended previous results on W-algebra rationality

Abstract

We discuss a possible generalization of a result by the third-named author on the rationality of non-admissible minimal W-algebras. We then apply this generalization to finding rational non-admissible principal W-algebras.