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Journal of Lie Theory 11 (2001), No. 2, 305--337
Copyright Heldermann Verlag 2001

Fusion Algebras for N = 1 Superconformal Field Theories through Covariants, II: N = 1 Super-Virasoro-Symmetry

Kenji Iohara
Dept. of Mathematics, Faculty of Science, Kobe University, Kobe 657-8501, Japan

Yoshiyuki Koga
Dept. of Mathematics, Faculty of Science, Osaka University, Osaka 560-0043, Japan

We calculate fusion algebras of the N = 1 super-minimal models for the Neveu-Schwarz sector. We also state conjectures on the fusion rule and give some supporting evidences for the Ramond sector. Fusion algebras for the Neveu-Schwarz sector coincide with Verlinde algebras.

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