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On non-semisimple fusion rules and tensor categories
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-4081-6234
2007 (English)In: Contemporary Mathematics 442 (2007), 2007Chapter in book (Refereed)
Abstract [en]

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
2007.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-22052OAI: oai:DiVA.org:kau-22052DiVA: diva2:595728
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2014-11-21

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http://xxx.lanl.gov/abs/hep-th/0602051http://www.ams.org/bookstore-getitem/item=conm/442

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Fuchs, Jürgen
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