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

Fuente: arXiv
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Main Authors: Arakawa, Tomoyuki, van Ekeren, Jethro, Moreau, Anne
Format: Preprint
Published: 2021
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author Arakawa, Tomoyuki
van Ekeren, Jethro
Moreau, Anne
author_facet Arakawa, Tomoyuki
van Ekeren, Jethro
Moreau, Anne
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2102_13462
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
Arakawa, Tomoyuki
van Ekeren, Jethro
Moreau, Anne
Representation Theory
High Energy Physics - Theory
Quantum Algebra
17B08, 17B67, 17B69, 81R10
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.
title Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
topic Representation Theory
High Energy Physics - Theory
Quantum Algebra
17B08, 17B67, 17B69, 81R10
url https://arxiv.org/abs/2102.13462