The Instanton Universal Moduli Space of N=2 Supersymmetric Yang-Mills Theory

TL;DR

This paper constructs a universal moduli space for all multi-instanton configurations in N=2 SU(2) Super Yang-Mills theory and analyzes its strong coupling expansion through Borel summation.

Contribution

It introduces a universal moduli space encompassing all multi-instanton moduli spaces using recursive compactification techniques.

Findings

Construction of a universal instanton moduli space for N=2 SU(2) SYM.

Application of Borel summation to analyze strong coupling behavior.

Insights into the field theoretic structure of instanton expansions.

Abstract

We use the recursive structure of the compactification of the instanton moduli space of N=2 Super Yang-Mills theory with gauge group SU(2), to construct, by inductive limit, a universal moduli space which includes all the multi-instanton moduli spaces. Furthermore, with the aim of understanding the field theoretic structure of the strong coupling expansion, we perform the Borel sum which acts on the parameter defining such a universal moduli space.