Categorification and correlation functions in conformal field theory

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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.
16 pages, Invited contribution to the ICM 2006

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Category Theory, Quantum Algebra, 81T40;18D10;18D35;81T45

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http://salesiana.dossiersoluciones.com/handle/123456789/108853

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602079
 http://arxiv.org/abs/math/0602079

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arXiv