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

Axioms

Namhee Kwon¹ 

[1] Department of Mathematics, Daegu University, Gyeongsan, Gyeongbuk 38453, Korea;

关键词: branching functions;    admissible representations;    characters;    affine Lie algebras;    super-Virasoro algebras;   

DOI  :  10.3390/axioms8030082

来源: DOAJ

【 摘 要 】

We explicitly calculate the branching functions arising from the tensor product decompositions between level 2 and principal admissible representations over ${\widehat{\mathfrak{sl}}}_2$ . 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.

【 授权许可】

Unknown