Classification of operator algebraic conformal field theories

dc.creatorKawahigashi, Yasuyuki
dc.date2002-11-08
dc.date2003-04-16
dc.date.accessioned2026-07-07T04:52:47Z
dc.date.available2026-07-07T04:52:47Z
dc.descriptionWe give an exposition on the current status of classification of operator algebraic conformal field theories. We explain roles of complete rationality and alpha-induction for nets of subfactors in such a classification and present the current classification result, a joint work with R. Longo, for the case with central charge less than 1, where we have a complete classification list consisting of the Virasoro nets, their simple current extensions of index 2, and four exceptionals. Two of the four exceptionals appear to be new.
dc.descriptionLaTeX 2e, 14 pages, more explanations added
dc.identifierhttps://arxiv.org/abs/math/0211141
dc.identifierhttp://arxiv.org/abs/math/0211141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65595
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subject46L37; 81T05; 81T40
dc.titleClassification of operator algebraic conformal field theories
dc.typetext

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