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On the Classification of Bulk and Boundary Conformal Field Theories

R. Behrend·P. Pearce·V. Petkova·J. -B. Zuber
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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.

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R. Behrend, P. Pearce, V. Petkova, J. -B. Zuber. 1998-11-02. On the Classification of Bulk and Boundary Conformal Field Theories. https://doi.org/10.1016/s0370-2693(98)01374-4

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