Supersymmetric Quantum Mechanics of Monopoles in N=4 Yang-Mills Theory

TL;DR

This paper develops an $N=4$ supersymmetric quantum mechanics framework on the monopole moduli space in $N=4$ Yang-Mills theory, providing a detailed supersymmetric analysis of monopole solutions.

Contribution

It introduces a supersymmetric collective coordinate expansion leading to an $N=4$ supersymmetric quantum mechanics model for monopoles.

Findings

Constructs the supersymmetric quantum mechanics on monopole moduli space.

Provides insights into the supersymmetric structure of monopole solutions.

Lays groundwork for further studies of monopoles in supersymmetric theories.

Abstract

A supersymmetric collective coordinate expansion of the monopole solution of $N=4$ Yang-Mills theory is performed resulting in an $N=4$ supersymmetric quantum mechanics on the moduli space of monopole solutions.