On non-semisimple fusion rules and tensor categories

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dc.creatorFuchs, Jurgen
dc.date2006-02-06
dc.date.accessioned2026-07-07T07:02:51Z
dc.date.available2026-07-07T07:02:51Z
dc.descriptionCategory theoretic aspects of non-rational conformal field theories are discussed. We consider the case that the category C of chiral sectors is a finite tensor category, i.e. a rigid monoidal category whose class of objects has certain finiteness properties. Besides the simple objects, the indecomposable projective objects of C are of particular interest. The fusion rules of C can be block-diagonalized. A conjectural connection between the block-diagonalization and modular transformations of characters of modules over vertex algebras is exemplified with the case of the (1,p) minimal models.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0602051
dc.identifierhttp://arxiv.org/abs/hep-th/0602051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108753
dc.subjectHigh Energy Physics - Theory
dc.subjectCategory Theory
dc.subjectQuantum Algebra
dc.titleOn non-semisimple fusion rules and tensor categories
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