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 . 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.
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Keywords:
branching functions; admissible representations; characters; affine Lie algebras; super-Virasoro algebras
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Kwon, N. Branching Functions for Admissible Representations of Affine Lie Algebras and Super-Virasoro Algebras. Axioms 2019, 8, 82. https://doi.org/10.3390/axioms8030082
AMA Style
Kwon N. Branching Functions for Admissible Representations of Affine Lie Algebras and Super-Virasoro Algebras. Axioms. 2019; 8(3):82. https://doi.org/10.3390/axioms8030082
Chicago/Turabian StyleKwon, Namhee. 2019. "Branching Functions for Admissible Representations of Affine Lie Algebras and Super-Virasoro Algebras" Axioms 8, no. 3: 82. https://doi.org/10.3390/axioms8030082
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