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arXiv · 1506.00710

Joseph ideals and lisse minimal W-algebras

Tomoyuki Arakawa·Anne Moreau
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Abstract

We consider a lifting of Joseph ideals for the minimal nilpotent orbit closure to the setting of affine Kac-Moody algebras and find new examples of affine vertex algebras whose associated varieties are minimal nilpotent orbit closures. As an application we obtain a new family of lisse ($C_2$-cofinite) W-algebras that are not coming from admissible representations of affine Kac-Moody algebras.

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BibTeXRIS

Tomoyuki Arakawa, Anne Moreau. 2016-01-22. Joseph ideals and lisse minimal W-algebras. https://doi.org/10.1017/s1474748016000025

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