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

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

2009-02-22

arxiv.org/abs/0902.3829v1

Physics

Mathematical Physics

21 pages, contribution to proceedings for "Non-commutative Structures in Mathematics and Physics" (Brussels, July 2008)

Scientific paper

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.

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