Regularity of certain vertex operator algebras with two generators

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dc.creatorAdamovic, Drazen
dc.date2001-11-06
dc.date.accessioned2026-07-07T04:44:23Z
dc.date.available2026-07-07T04:44:23Z
dc.descriptionFor every $m \in {\C} \setminus \{0, -2\}$ and every nonnegative integer $k$ we define the vertex operator (super)algebra $D_{m,k}$ having two generators and rank $ \frac{3 m}{m + 2}$. If $m$ is a positive integer then $D_{m,k}$ can be realized as a subalgebra of a lattice vertex algebra. In this case, we prove that $D_{m,k}$ is a regular vertex operator (super)algebra and find the number of inequivalent irreducible modules.
dc.description17 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0111055
dc.identifierhttp://arxiv.org/abs/math/0111055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62570
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B69
dc.titleRegularity of certain vertex operator algebras with two generators
dc.typetext

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