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Categorification and correlation functions in conformal field theory
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-4081-6234
2006 (English)In: Proceedings of the International Congressof Mathematicians: Vol III, 2006, p. 443-458Conference paper, Published paper (Other (popular science, discussion, etc.))
Abstract [en]

A modular tensor category provides the appropriate data for the construction of a three-dimensional topological field theory. We describe the following analogue for two-dimensional conformal field theories: a 2-category whose objects are symmetric special Frobenius algebras in a modular tensor category and whose morphisms are categories of bimodules. This 2-category provides sufficient ingredients for constructing all correlation functions of a two-dimensional rational conformal field theory. The bimodules have the physical interpretation of chiral data, boundary conditions, and topological defect lines of this theory

Place, publisher, year, edition, pages
2006. p. 443-458
Keywords [en]
(Rational) conformal field theory, topological field theory, tensor categories, categorification
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-17592OAI: oai:DiVA.org:kau-17592DiVA, id: diva2:591200
Conference
International Congress of Mathematicians, Madrid, 2006
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2014-11-21Bibliographically approved

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No full text in DiVA

Other links

http://xxx.lanl.gov/abs/math.CT/0602079

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Fuchs, Jürgen

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