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On the Classification of Bulk and Boundary Conformal Field Theories

High Energy Physics - Theory 2009-10-31 v2

Abstract

The classification of rational conformal field theories is reconsidered from the standpoint of boundary conditions. Solving Cardy's equation expressing the consistency condition on a cylinder is equivalent to finding integer valued representations of the fusion algebra. A complete solution not only yields the admissible boundary conditions but also gives valuable information on the bulk properties.

Keywords

Cite

@article{arxiv.hep-th/9809097,
  title  = {On the Classification of Bulk and Boundary Conformal Field Theories},
  author = {R. Behrend and P. Pearce and V. Petkova and J. -B. Zuber},
  journal= {arXiv preprint arXiv:hep-th/9809097},
  year   = {2009}
}

Comments

7 pages, LaTeX; minor corrections