On the characters of a certain series of N=4 superconformal modules

TL;DR

This paper investigates N=4 superconformal modules derived from quantum Hamiltonian reduction of affine Lie superalgebra representations, revealing a series with characters expressed as explicit modular functions using Mumford's theta functions.

Contribution

It introduces a new series of N=4 superconformal modules with explicitly expressed modular characters, derived via quantum Hamiltonian reduction.

Findings

Existence of a series of N=4 superconformal modules with modular function characters

Characters explicitly written using Mumford's theta functions

Modules obtained from principal admissible representations of affine Lie superalgebra (1,1)

Abstract

In this paper we study the N=4 superconformal modules obtained from the quantum Hamiltonian reduction of principal admissible representations of the affine Lie superalgebra $\hat{A}(1,1)$, and show that there exists a series of N=4 superconformal modules whose characters are modular functions and written explicitly by the Mumford's theta functions.