Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory
arXiv:0902.3829
Abstract
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)