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Lie algebras, Fuchsian differential equations and CFT correlation functions | | Jürgen Fuchs
; Ingo Runkel
; Christoph Schweigert
; | | Date: |
23 Dec 2002 | | Subject: | High Energy Physics - Theory; Quantum Algebra | hep-th math.QA | | Abstract: | 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. | | Source: | arXiv, hep-th/0301181 | | Services: | Forum | Review | PDF | Favorites | |
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