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19 April 2024
 
  » arxiv » hep-th/0009111

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Solitonic sectors, conformal boundary conditions and three-dimensional topological field theory
C. Schweigert ; J. Fuchs ;
Date 14 Sep 2000
Subject hep-th
AbstractThe correlation functions of a two-dimensional rational conformal field theory, for an arbitrary number of bulk and boundary fields and arbitrary world sheets can be expressed in terms of Wilson graphs in appropriate three-manifolds. We present a systematic approach to boundary conditions that break bulk symmetries. It is based on the construction, by `alpha-induction’, of a fusion ring for the boundary fields. Its structure constants are the annulus coefficients and its 6j-symbols give the OPE of boundary fields. Symmetry breaking boundary conditions correspond to solitonic sectors.
Source arXiv, hep-th/0009111
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