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arXiv · hep-th/9909140

Conformal boundary conditions and three-dimensional topological field theory

G. Felder·J. Fr"ohlich·J. Fuchs·C. Schweigert
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Abstract

We present a general construction of all correlation functions of a two-dimensional rational conformal field theory, for an arbitrary number of bulk and boundary fields and arbitrary topologies. The correlators are expressed in terms of Wilson graphs in a certain three-manifold, the connecting manifold. The amplitudes constructed this way can be shown to be modular invariant and to obey the correct factorization rules.

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G. Felder, J. Fr"ohlich, J. Fuchs, C. Schweigert. 1999-10-12. Conformal boundary conditions and three-dimensional topological field theory. https://doi.org/10.1103/physrevlett.84.1659

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