General Low Energy Dynamics of Supersymmetric Monopoles

TL;DR

This paper develops a comprehensive low energy effective theory for monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories, accounting for multiple Higgs fields with non-zero expectation values.

Contribution

It introduces a novel supersymmetric quantum mechanics framework that includes effects of multiple Higgs fields in monopole dynamics.

Findings

Derived a general low energy monopole dynamics framework

Incorporated effects of multiple Higgs fields with non-zero expectation values

Extended understanding of monopole and dyon behavior in supersymmetric theories

Abstract

We derive general low energy dynamics of monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories by utilising a collective coordinate expansion. The resulting new kind of supersymmetric quantum mechanics incorporates the effects of multiple Higgs fields, both in the N=2 vector multiplet and hypermultiplets, having non-vanishing expectation values.