• Corpus ID: 232068714

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

  title={Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras},
  author={Tomoyuki Arakawa and Jethro van Ekeren and Anne Moreau},
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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