A construction of admissible $A_1^{(1)}$-modules of level $-{4/3}$

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dc.creatorAdamovic, Drazen
dc.date2004-01-05
dc.date2004-02-03
dc.date.accessioned2026-07-07T05:04:21Z
dc.date.available2026-07-07T05:04:21Z
dc.descriptionBy using generalized vertex algebras associated to rational lattices, we construct explicitly the admissible modules for the affine Lie algebra $A_1 ^{(1)}$ of level $-{4/3}$. As an application, we show that the W(2,5) algebra with central charge c=-7 investigated in math.QA/0207155 is a subalgebra of the simple affine vertex operator algebra $L(-{4/3}Λ_0)$.
dc.description16 pages; Latex; minor changes; added references
dc.identifierhttps://arxiv.org/abs/math/0401023
dc.identifierhttp://arxiv.org/abs/math/0401023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69770
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subject17B69; 17B67; 81R10
dc.titleA construction of admissible $A_1^{(1)}$-modules of level $-{4/3}$
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