Exact kink solitons in a monopole confinement problem

TL;DR

This paper explicitly constructs all kink solitons in a monopole confinement problem within ${\cal N}=2$ supersymmetric QCD, demonstrating that all finite-energy solutions are BPS states.

Contribution

It provides a complete explicit construction of all kink solitons in the studied monopole confinement model, confirming their BPS nature.

Findings

All finite-energy kink solitons are BPS.

Explicit formulas for all kink solutions are derived.

The results clarify the structure of solitons in the model.

Abstract

We explicitly construct all kink solitons arising in the recent study of Auzzi, Bolognesi, and Shifman of a monopole confinement problem in ${\cal N}=2$ supersymmetric QCD. In particular, we show that all finite-energy kink solitons must be BPS.