On the Classification of Bulk and Boundary Conformal Field Theories

  title={On the Classification of Bulk and Boundary Conformal Field Theories},
  author={Roger E. Behrend and Paul A. Pearce},
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. The classification of conformal field theories (CFTs) remains an important issue, both in the… CONTINUE READING
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