Simplicity of vacuum modules over affine Lie superalgebras

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dc.creatorHoyt, Crystal
dc.creatorReif, Shifra
dc.date2008-06-16
dc.date.accessioned2026-07-07T09:44:50Z
dc.date.available2026-07-07T09:44:50Z
dc.descriptionWe prove an explicit condition on the level $k$ for the irreducibility of a vacuum module $V^{k}$ over a (non-twisted) affine Lie superalgebra, which was conjectured by M. Gorelik and V.G. Kac. An immediate consequence of this work is the simplicity conditions for the corresponding minimal W-algebras obtained via quantum reduction, in all cases except when the level $k$ is a non-negative integer.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0806.2605
dc.identifierhttp://arxiv.org/abs/0806.2605
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163014
dc.subjectRepresentation Theory
dc.titleSimplicity of vacuum modules over affine Lie superalgebras
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