W-algebras with non-admissible levels and the Deligne exceptional series

2015/05/26 by Kawasetsu, Kazuya · 1 citation
#17B25 #17B67 #17B68 #17B69 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1505.06985

Abstract

Structure of certain simple 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 C₂-cofiniteness and ℤ₂-rationality of the algebras are proved.

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