Fusion Rules in N=1 Superconformal Minimal Models

Details Fusion Rules in N=1 Superconformal Minimal Models Fusion Rules in N=1 Superconformal Minimal Models

1998-01-08

arxiv.org/abs/hep-th/9801035v1

Phys.Lett.B422:117-125,1998

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, latex, to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)00038-0

The generalization to N=1 superconformal minimal models of the relation between the modular transformation matrix and the fusion rules in rational conformal field theories, the Verlinde theorem, is shown to provide complete information about the fusion rules, including their fermionic parity. The results for the superconformal Tricritical Ising and Ashkin-Teller models agree with the known rational conformal formulation. The Coulomb gas description of correlation functions in the Ramond sector of N=1 minimal models is also discussed and a previous formulation is completed.

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