Three-Dimensional Gauge Theories and ADE Monopoles

TL;DR

This paper explores the relationship between three-dimensional N=4 gauge theories with ADE gauge groups and the moduli space of ADE monopoles, showing a proposed exact correspondence between their metrics.

Contribution

It establishes a conjecture that the Coulomb branch metric in these gauge theories exactly matches the monopole moduli space metric.

Findings

One-loop corrections match monopole moduli space metrics.

Proposes an exact correspondence between gauge theory Coulomb branches and monopole moduli spaces.

Provides evidence supporting the conjecture through theoretical analysis.

Abstract

We study three-dimensional N=4 gauge theories with product gauge groups constructed from ADE Dynkin diagrams. One-loop corrections to the metric on the Coulomb branch are shown to coincide with the metric on the moduli space of well-seperated ADE monopoles. We propose that this correspondence is exact.