2000/09/14 by C. Schweigert, Schweigert, C., J. Fuchs +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0009111
9 pages, LaTeX2e. Invited talk by Christoph Schweigert at the TMR conference ``Non-perturbative quantum effects 2000'', Paris, September 2000
arxiv created 2000/10/13 · arxiv updated 2009/11/30
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.