Branching Functions for Admissible Representations of Affine Lie Algebras and Super-Virasoro Algebras

Abstract

We explicitly calculate the branching functions arising from the tensor product decompositions between level 2 and principal admissible representations over sl ^ 2 . In addition, investigating the characters of the minimal series representations of super-Virasoro algebras, we present the tensor product decompositions in terms of the minimal series representations of super-Virasoro algebras for the case of principal admissible weights.

Keywords

• branching functions
• admissible representations
• characters
• affine Lie algebras
• super-Virasoro algebras