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Correlation Functions and Boundary Conditions in Rational Conformal Field Theory and Three-Dimensional Topology |
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| Authors: | Giovanni Felder Jürg Fröhlich Jürgen Fuchs Christoph Schweigert |
| Affiliation: | (1) Department of Mathematics, ETH-Zentrum, CH-8092 Zürich, Switzerland;(2) Institute for Theoretical Physics, ETH-Hönggerberg, CH-8093 Zürich, Switzerland;(3) LPTHE, Université Paris VI, 4, place Jussieu, F-75252 Paris Cedex 05, France |
| Abstract: | We give a general construction of correlation functions in rational conformal field theory on a possibly nonorientable surface with boundary in terms of three-dimensional topological field theory. The construction applies to any modular category in the sense of Turaev. It is proved that these correlation functions obey modular invariance and factorization rules. Structure constants are calculated and expressed in terms of the data of the modular category. |
| Keywords: | conformal field theory modular categories topological field theory |
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