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

2022/04/04 by Minoru Wakimoto, Wakimoto, Minoru
Chemistry · Mathematics · #17B67 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Molecular spectroscopy and chirality #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2204.01473

openalex publication_date 2022/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain an explicit formula for the mock theta function Φ^[m,s] in the case when either m or s is a half of an odd integer by using the coroot lattice of D(2,1;a). This enables us, together with the recurrence formula for Φ^[m,s], to know Φ^[m,s] for all m and s. As its application, we deduce explicit formulas for the character and the supercharacter of N=3 modules obtained from the quantum Hamiltonian reduction of osp(3|2)-modules.

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