Mock theta functions and characters of N=3 superconformal modules

TL;DR

This paper explores the characters of N=3 superconformal modules utilizing Zwegers' theory to modify mock theta functions, advancing understanding in superconformal algebra representations.

Contribution

It introduces a novel application of Zwegers' theory to analyze superconformal module characters, bridging mock theta functions with superconformal algebra.

Findings

Established a new connection between mock theta functions and N=3 superconformal characters

Provided explicit character formulas using Zwegers' modification techniques

Enhanced the mathematical framework for superconformal module analysis

Abstract

In this paper we study the characters of N=3 superconformal modules by using the Zwegers' theory on modification of mock theta functions.