Conformal boundary conditions and three-dimensional topological field theory

Details Conformal boundary conditions and three-dimensional topological field theory Conformal boundary conditions and three-dimensional topological field theory

1999-09-20

arxiv.org/abs/hep-th/9909140v2

Phys.Rev.Lett. 84 (2000) 1659-1662

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX2e; reference added

Scientific paper

10.1103/PhysRevLett.84.1659

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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