On the Classification of Bulk and Boundary Conformal Field Theories

Details On the Classification of Bulk and Boundary Conformal Field Theories On the Classification of Bulk and Boundary Conformal Field Theories

1998-09-14

arxiv.org/abs/hep-th/9809097v2

Phys.Lett. B444 (1998) 163-166

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX; minor corrections

Scientific paper

10.1016/S0370-2693(98)01374-4

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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