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arXiv · 2102.13462

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

Tomoyuki Arakawa·Jethro van Ekeren·Anne Moreau
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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.

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BibTeXRIS

Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau. 2021-02-26. Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras. https://doi.org/10.1017/fms.2024.81

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