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arXiv · 1505.06985

$\mathcal{W}$-algebras with non-admissible levels and the Deligne exceptional series

Kazuya Kawasetsu
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Abstract

Structure of certain simple $\mathcal{W}$-algebras assocated with the Deligne exceptional Lie algebras and non-admissible levels are described as the {\it simple current extensions} of certain vertex operator algebras. As an application, the $C_2$-cofiniteness and $\mathbb{Z}_2$-rationality of the algebras are proved.

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Kazuya Kawasetsu. 2015-05-26. $\mathcal{W}$-algebras with non-admissible levels and the Deligne exceptional series. https://arxiv.org/abs/1505.06985

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