Unitary minimal models of SW(3/2,3/2,2) superconformal algebra and manifolds of G_2 holonomy

dc.creatorNoyvert, Boris
dc.date2002-01-24
dc.date2002-04-01
dc.date.accessioned2026-07-07T12:31:41Z
dc.date.available2026-07-07T12:31:41Z
dc.descriptionThe SW(3/2,3/2,2) superconformal algebra is a W algebra with two free parameters. It consists of 3 superconformal currents of spins 3/2, 3/2 and 2. The algebra is proved to be the symmetry algebra of the coset (su(2)+su(2)+su(2))/su(2). At the central charge c=21/2 the algebra coincides with the superconformal algebra associated to manifolds of G_2 holonomy. The unitary minimal models of the SW(3/2,3/2,2) algebra and their fusion structure are found. The spectrum of unitary representations of the G_2 holonomy algebra is obtained.
dc.description34 pages, 2 figures, latex; v2: added examples in appendix D; v3: published version, corrected typos
dc.identifierhttps://arxiv.org/abs/hep-th/0201198
dc.identifierhttp://arxiv.org/abs/hep-th/0201198
dc.identifierJHEP 0203 (2002) 030
dc.identifierdoi:10.1088/1126-6708/2002/03/030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216529
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleUnitary minimal models of SW(3/2,3/2,2) superconformal algebra and manifolds of G_2 holonomy
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