Low Energy Dynamics of Monopoles in N=2 SYM with Matter

TL;DR

This paper derives supersymmetric quantum mechanical models for multi-monopole dynamics in N=2 super-Yang--Mills theory with matter, aiding the understanding of solitonic states and duality mappings.

Contribution

It provides the first derivation of low-energy monopole dynamics models in N=2 SYM with matter, extending previous pure gauge analyses.

Findings

Derived supersymmetric quantum mechanics models for monopoles

Facilitates identification of solitonic states in duality frameworks

Advances understanding of monopole dynamics in theories with matter

Abstract

We derive, for $N\is2$ super-Yang--Mills with gauge group $SU(2)$ and massless matter, the supersymmetric quantum mechanical models describing the time evolution of multi-monopole configurations in the low energy approximation. This is a first step towards identifying the solitonic states mapped to fundamental excitations by duality in the model with four hypermultiplets in the fundamental representation.