Fusion in coset CFT from admissible singular-vector decoupling

Details Fusion in coset CFT from admissible singular-vector decoupling Fusion in coset CFT from admissible singular-vector decoupling

2000-07-11

arxiv.org/abs/hep-th/0007088v1

Nucl.Phys. B595 (2001) 587-604

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, harvmac

Scientific paper

10.1016/S0550-3213(00)00674-X

Fusion rules for Wess-Zumino-Witten (WZW) models at fractional level can be defined in two ways, with distinct results. The Verlinde formula yields fusion coefficients that can be negative. These signs cancel in coset fusion rules, however. On the other hand, the fusion coefficients calculated from decoupling of singular vectors are non-negative. They produce incorrect coset fusion rules, however, when factorisation is assumed. Here we give two prescriptions that yield the correct coset fusion rules from those found for the WZW models by the decoupling method. We restrict to the Virasoro minimal models for simplicity, and because decoupling results are only complete in the $\su(2)$ case.

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