English

Conformal boundary conditions and three-dimensional topological field theory

High Energy Physics - Theory 2009-10-31 v2

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.

Keywords

Cite

@article{arxiv.hep-th/9909140,
  title  = {Conformal boundary conditions and three-dimensional topological field theory},
  author = {G. Felder and J. Fr"ohlich and J. Fuchs and C. Schweigert},
  journal= {arXiv preprint arXiv:hep-th/9909140},
  year   = {2009}
}

Comments

8 pages, LaTeX2e; reference added