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Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-4081-6234
2007 (English)In: Contemporary Mathematics 431 (2007), 2007Chapter in book (Refereed)
Abstract [en]

A Morita class of symmetric special Frobenius algebras A in the modular tensor category of a chiral CFT determines a full CFT on oriented world sheets. For unoriented world sheets, A must in addition possess a reversion, i.e. an isomorphism from A^opp to A squaring to the twist. Any two reversions of an algebra A differ by an element of the group Aut(A) of algebra automorphisms of A. We establish a group homomorphism from Aut(A) to the Picard group of the bimodule category C_AA, with kernel consisting of the inner automorphisms, and we refine Morita equivalence to an equivalence relation between algebras with reversion

Place, publisher, year, edition, pages
2007.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-23099OAI: oai:DiVA.org:kau-23099DiVA: diva2:596854
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2014-11-21

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http://www.ams.org/bookstore-getitem/item=conm/431http://xxx.lanl.gov/abs/math.CT/0511590

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Fuchs, Jürgen
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