Hostname: page-component-7c8c6479df-995ml Total loading time: 0 Render date: 2024-03-29T01:05:57.844Z Has data issue: false hasContentIssue false

Correlation Functions and Boundary Conditions in Rational Conformal Field Theory and Three-Dimensional Topology

Published online by Cambridge University Press:  04 December 2007

Giovanni Felder
Affiliation:
Department of Mathematics, ETH-Zentrum, CH-8092 Zürich, Switzerland
Jürg Fröhlich
Affiliation:
Institute for Theoretical Physics, ETH-Hönggerberg, CH-8093 Zürich, Switzerland
Jürgen Fuchs
Affiliation:
Institute for Theoretical Physics, ETH-Hönggerberg, CH-8093 Zürich, Switzerland
Christoph Schweigert
Affiliation:
LPTHE, Université Paris VI, 4, place Jussieu, F-75252 Paris Cedex 05, France
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Type
Research Article
Copyright
© 2002 Kluwer Academic Publishers