Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory
Mathematical Physics
2009-02-24 v1 High Energy Physics - Theory
math.MP
Operator Algebras
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.0902.3829,
title = {Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory},
author = {Liang Kong and Ingo Runkel},
journal= {arXiv preprint arXiv:0902.3829},
year = {2009}
}
Comments
21 pages, contribution to proceedings for "Non-commutative Structures in Mathematics and Physics" (Brussels, July 2008)