On non-semisimple fusion rules and tensor categories
2007 (English)In: Contemporary Mathematics 442 (2007), 2007Chapter in book (Refereed)
Category 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
Place, publisher, year, edition, pages
Research subject Physics
IdentifiersURN: urn:nbn:se:kau:diva-22052OAI: oai:DiVA.org:kau-22052DiVA: diva2:595728