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

Department of Mathematics, Daegu University, Gyeongsan, Gyeongbuk 38453, Korea
Axioms 2019, 8(3), 82; https://doi.org/10.3390/axioms8030082
Received: 2 May 2019 / Revised: 12 July 2019 / Accepted: 17 July 2019 / Published: 19 July 2019
(This article belongs to the Special Issue Non-associative Structures and Other Related Structures)
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. View Full-Text
Keywords: branching functions; admissible representations; characters; affine Lie algebras; super-Virasoro algebras branching functions; admissible representations; characters; affine Lie algebras; super-Virasoro algebras
MDPI and ACS Style

Kwon, N. Branching Functions for Admissible Representations of Affine Lie Algebras and Super-Virasoro Algebras. Axioms 2019, 8, 82.

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