From ALE-instanton Moduli to Super Yang-Mills Theories via Branes

TL;DR

This paper explores the deep connections between ALE-instanton moduli spaces and supersymmetric Yang-Mills theories through brane dualities in superstring theories, revealing new equivalences and correspondences.

Contribution

It establishes a novel duality-based framework linking ALE-instanton moduli spaces with Higgs branches of supersymmetric gauge theories in different dimensions.

Findings

Identifies equivalence relations between instanton moduli and gauge theory Higgs branches.

Demonstrates duality transformations connecting brane configurations to gauge theories.

Shows correspondence between ALE-instanton moduli and supersymmetric gauge theories in 4d and 5d.

Abstract

A large class of equivalence relations between the moduli spaces of instantons on ALE spaces and the Higgs branches of supersymmetric Yang-Mills theories, are found by means of a certain kind of duality transformation between brane configurations in superstring theories. 4d, N=2 and 5d, N=1 supersymmetric gauge theories with product gauge groups turn out to correspond to the ALE-instanton moduli of type II B and type II A superstring theories, respectively.