Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-01-23
Physics
High Energy Physics
High Energy Physics - Theory
15 pages. contribution to the Ramanujan International Symposium on Kac-Moody Lie algebras and Applications (Madras, January 28
Scientific paper
Affine Kac-Moody algebras give rise to interesting systems of differential equations, so-called Knizhnik-Zamolodchikov equations. The monodromy properties of their solutions can be encoded in the structure of a modular tensor category on (a subcategory of) the representation category of the affine Lie algebra. We discuss the relation between these solutions and physical correlation functions in two-dimensional conformal field theory. In particular we report on a proof for the existence of the latter on world sheets of arbitrary topology.
Fuchs J"urgen
Runkel Ingo
Schweigert Christoph
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