Instantons on ALE spaces and Super Liouville Conformal Field Theories

TL;DR

This paper links super Liouville conformal field theory's conformal blocks to SU(2) Nekrasov partition functions on ALE spaces, revealing a deep connection between these mathematical structures.

Contribution

It establishes a novel correspondence between super Liouville conformal blocks and Nekrasov partition functions on ALE spaces, extending the understanding of their interrelation.

Findings

Conformal blocks of N=1 super Liouville theory are described by SU(2) Nekrasov partition functions.

Provides evidence for the correspondence on ALE spaces O_{P^1}(-2).

Enhances the mathematical framework connecting conformal field theories and gauge theories.

Abstract

We provide evidence that the conformal blocks of N=1 super Liouville conformal field theory are described in terms of the SU(2) Nekrasov partition function on the ALE space O_{P^1}(-2).