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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, 443-458 p.Conference 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. 443-458 p.
Keyword [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: 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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http://xxx.lanl.gov/abs/math.CT/0602079

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