An isomorphism between the fusion algebras of $V_L^+$ and type $D^{(1)}$ level 2

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dc.creatorCuntz, Michael
dc.creatorGoff, Christopher
dc.date2008-09-30
dc.date2008-10-09
dc.date.accessioned2026-07-07T10:08:24Z
dc.date.available2026-07-07T10:08:24Z
dc.descriptionThe fusion algebra of the vertex operator algebra $V_L^+$ for a rank 1 even lattice $L$ is explicitly shown to be isomorphic to the fusion algebra of the Kac-Moody algebra of type $D^{(1)}$ at level 2 in almost all cases.
dc.descriptionShortly after posting this article, C. Schweigert pointed out to us that our result was already known in physics literature. The paper is thus mainly useful for looking up the explicit fusion algebra and S-matrix of type D level 2
dc.identifierhttps://arxiv.org/abs/0809.5186
dc.identifierhttp://arxiv.org/abs/0809.5186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170984
dc.subjectQuantum Algebra
dc.subject81R10; 17B67; 17B69
dc.titleAn isomorphism between the fusion algebras of $V_L^+$ and type $D^{(1)}$ level 2
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