Mock theta functions and characters of N=3 superconformal modules IV

2022/09/01 by Minoru Wakimoto, Wakimoto, Minoru
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2209.00234

openalex publication_date 2022/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain explicit formulas for mock theta functions Φ^[m,s](τ, z₁, z₂,t) (m ∈ \frac12 N, s ∈ \frac12 Z) by using the coroot lattice of the Lie superalgebra D(2,1,a) and the Kac-Peterson's identity. As its application, we study the branching functions of tensor products of N=3 modules and prove the formula conjectured in the previous paper.

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