Journal of Lie Theory, Vol. 11, No. 2, pp. 305-337 (2001)

Fusion Algebras for $N=1$ Superconformal Field Theories through Coinvariants II: $N=1$ Super Virasoro Symmetry

Kenji Iohara and Yoshiyuki Koga

Department of Mathematics
Faculty of Science
Kobe University
Kobe 657-8501
Japan
and
Department of Mathematics
Faculty of Science
Osaka University
Osaka 560-0043
Japan

Abstract: 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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