Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory

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We review how modular categories, and commutative and non-commutative Frobenius algebras arise in rational conformal field theory. For Euclidean CFT we use an approach based on sewing of surfaces, and in the Minkowskian case we describe CFT by a net of operator algebras.
21 pages, contribution to proceedings for "Non-commutative Structures in Mathematics and Physics" (Brussels, July 2008)

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Mathematical Physics, High Energy Physics - Theory, Operator Algebras, Quantum Algebra, 81T40; 18D10; 17B69; 81T05

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http://salesiana.dossiersoluciones.com/handle/123456789/221122

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.3829
 http://arxiv.org/abs/0902.3829

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arXiv