Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras

Abstract

We apply results from the geometry of nilpotent orbits and nilpotent Slodowy slices, together with modularity and asymptotic analysis of characters, to prove many new isomorphisms between affine W-algebras and affine Kac-Moody vertex algebras and their finite extensions at specific admissible levels. In particular we identify many new collapsing levels for W-algebras.

arXiv comment92 pages. Minor corrections to text and to data tables. arXiv admin note: substantial text overlap with arXiv:math/0510205 by other authors

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Cited by in corpus (3)

• Schur sector of Argyres-Douglas theory and $W$-algebra
• On the structure of W-algebras in type A
• Commutative algebras in Grothendieck-Verdier categories, rigidity, and vertex operator algebras