W-algebra W(2,2) and the vertex operator algebra L(1/2,0)\otimes L(1/2,0)

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dc.creatorZhang, W.
dc.creatorDong, C.
dc.date2007-11-28
dc.date.accessioned2026-07-07T08:45:58Z
dc.date.available2026-07-07T08:45:58Z
dc.descriptionIn this paper the W-algebra W(2,2) and its representation theory are studied. It is proved that a simple vertex operator algebra generated by two weight 2 vectors is either a vertex operator algebra associated to a highest irreducible W(2,2)-module or a tensor product of two irreducible Virasoro vertex operator algebras. Furthermore, any rational, C_2-cofinite simple vertex operator algebra whose weight 1 subspace is zero and weight 2 subspace is 2-dimensional, and with central charge c=1 is isomorphic to L(1/2,0)\otimes L(1/2,0).
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0711.4624
dc.identifierhttp://arxiv.org/abs/0711.4624
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143131
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B69
dc.titleW-algebra W(2,2) and the vertex operator algebra L(1/2,0)\otimes L(1/2,0)
dc.typetext

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