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Lie algebras, Fuchsian differential equations and CFT correlation functions
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-4081-6234
2004 (English)In: Contemporary Mathematics 343 (2004), American Mathematical Society , 2004Chapter in book (Refereed)
Abstract [en]

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

Place, publisher, year, edition, pages
American Mathematical Society , 2004.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-21051OAI: oai:DiVA.org:kau-21051DiVA: diva2:594721
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2014-11-21

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http://www.ams.org/bookstore?fn=20&arg1=conmseries&item=CONM-343http://xxx.lanl.gov/abs/hep-th/0301181

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Fuchs, Jürgen
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