On Zhu's Associative Algebra as a Tool in the Representation Theory of Vertex Operator Algebras

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dc.creatorLucke, Klaus
dc.date1996-05-03
dc.date.accessioned2026-07-07T04:22:05Z
dc.date.available2026-07-07T04:22:05Z
dc.descriptionWe describe an approach to classify (meromorphic) representations of a given vertex operator algebra by calculating Zhu's algebra explicitly. We demonstrate this for FKS lattice theories and subtheories corresponding to the Z_2 reflection twist and the Z_3 twist. Our work is mainly offering a novel uniqueness tool, but, as shown in the Z_3 case, it can also be used to extract enough information to construct new representations. We prove the existence and some properties of a new non-unitary representation of the Z_3-invariant subtheory of the (two dimensional) Heisenberg algebra.
dc.description60 pages, Latex
dc.identifierhttps://arxiv.org/abs/hep-th/9605020
dc.identifierhttp://arxiv.org/abs/hep-th/9605020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54577
dc.subjectHigh Energy Physics - Theory
dc.titleOn Zhu's Associative Algebra as a Tool in the Representation Theory of Vertex Operator Algebras
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