Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-09-14
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, LaTeX2e. Invited talk by Christoph Schweigert at the TMR conference ``Non-perturbative quantum effects 2000'', Paris,
Scientific paper
The 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.
Fuchs J"urgen
Schweigert Christoph
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