• Corpus ID: 232068714

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

@inproceedings{Arakawa2021SingularitiesON,
title={Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras},
author={Tomoyuki Arakawa and Jethro van Ekeren and Anne Moreau},
year={2021}
}
• Published 26 February 2021
• Mathematics
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.
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