Conformal boundary conditions and three-dimensional topological field theory

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.

arXiv comment8 pages, LaTeX2e; reference added

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• Boundary Liouville Field Theory: Boundary Three Point Function
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• TFT construction of RCFT correlators II: Unoriented world sheets
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• A critical lattice model for a Haagerup conformal field theory
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• Exceptional boundary states at c=1
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• Solitonic sectors, alpha-induction and symmetry breaking boundaries
• Topological aspects of the critical three-state Potts model
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• Canonical quantization of the boundary Wess-Zumino-Witten model
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• D-Branes in Topological Membranes
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