Low-energy U(1) x USp(2M) gauge theory from simple high-energy gauge group

TL;DR

This paper constructs a specific high-energy gauge theory embedding that results in a low-energy U(1) x USp(2M) gauge theory with monopoles and vortices, revealing their topological relations.

Contribution

It provides an explicit example of embedding a low-energy gauge theory with monopoles and vortices into a simple high-energy gauge group.

Findings

Degenerate monopoles from high-energy symmetry breaking

Non-Abelian vortices at low energies

Topological relations via homotopy sequences

Abstract

We give an explicit example of the embedding of a near BPS low-energy (U(1) x USp(2M))/Z_2 gauge theory into a high-energy theory with a simple gauge group and adjoint matter content. This system possesses degenerate monopoles arising from the high-energy symmetry breaking as well as non-Abelian vortices due to the symmetry breaking at low energies. These solitons of different codimensions are related by the exact homotopy sequences.