Lie algebras, Fuchsian differential equations and CFT correlation functions

Simple item page
dc.creatorFuchs, Jürgen
dc.creatorRunkel, Ingo
dc.creatorSchweigert, Christoph
dc.date2003-01-23
dc.date.accessioned2026-07-25T21:12:56Z
dc.descriptionAffine 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.
dc.description15 pages. contribution to the Ramanujan International Symposium on Kac-Moody Lie algebras and Applications (Madras, January 28-31, 2002). For related proceedings contributions see http://tpe.physik.rwth-aachen.de/schweigert/proceedings.html
dc.identifierhttps://arxiv.org/abs/hep-th/0301181
dc.identifierhttp://arxiv.org/abs/hep-th/0301181
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/77349
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleLie algebras, Fuchsian differential equations and CFT correlation functions
dc.typetext

Files

Collections

arXiv