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Joseph ideals and lisse minimal W-algebras

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.

preprint2016arXivOpen access
Tomoyuki ArakawaAnne Moreau
math.RTmath-phmath.QAmath.MP
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Tomoyuki ArakawaAnne Moreau

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