Monopoles in the Higgs Phase

TL;DR

This paper presents new stable monopole solutions in a Higgs phase where magnetic flux lines form flux tubes, revealing novel topological structures and supersymmetry properties in Yang-Mills-Higgs theories.

Contribution

It introduces monopole solutions with flux tube configurations in a fully broken gauge symmetry phase, extending the understanding of topological solitons in supersymmetric theories.

Findings

Monopoles form flux tubes instead of spreading radially.

Solutions are topologically stable and preserve 1/4 of supercharges in N=2 SQCD.

Multiple monopoles can be arranged on a flux tube to form stable BPS necklaces.

Abstract

We describe new solutions of Yang-Mills-Higgs theories consisting of magnetic monopoles in a phase with fully broken gauge symmetry. Rather than spreading out radially, the magnetic field lines form flux tubes. The solution is topologically stable and, when embedded in N=2 SQCD, preserves 1/4 of the supercharges. From the perspective of the flux-tube the monopole appears as a kink. Many monopoles may be threaded onto a single flux tube and placed at arbitrary separation to create a stable, BPS necklace of solitons.