Liouville Theory and Elliptic Genera

TL;DR

This paper explores the modular properties of N=4 superconformal characters to construct elliptic genera-like functions via decompactification of K3, tested against string theory models in ALE backgrounds.

Contribution

It introduces a novel approach to constructing elliptic genera-like functions using superconformal characters and decompactification techniques.

Findings

Successful construction of elliptic genera-like functions

Validation against ALE space string theory models

Insights into superconformal character modularity

Abstract

The structure and modular properties of N=4 superconformal characters are reviewed and exploited, in an attempt to construct elliptic genera-like functions by decompactifying K3. The construction is tested against expressions obtained in the context of strings propagating in background ALE spaces of type A(n-1), using the underlying superconformal theory, i.e the tensor product of N=2 minimal with N=2 Liouville theory.