BPS center vortices in nonrelativistic SU(N) gauge models with adjoint Higgs fields

TL;DR

This paper introduces a class of SU(N) Yang-Mills models with adjoint Higgs fields that admit BPS center vortex solutions, achieved by modifying the energy functional to include a new alignment term.

Contribution

The work proposes a novel SU(N) gauge model with a modified energy functional allowing BPS vortex solutions, including explicit solutions for N=2,3.

Findings

Derived reduced equations for vortex profiles for N=2,3

Constructed explicit Z(3) BPS vortex solutions with three colors and anticolors

Demonstrated the feasibility of BPS vortices in nonrelativistic SU(N) models

Abstract

In this work, we propose a class of SU(N) Yang-Mills models, with adjoint Higgs fields, that accept BPS center vortex equations. The lack of a local magnetic flux that could serve as an energy bound is circumvented by including a new term in the energy functional. This term tends to align, in the Lie algebra, the magnetic field and one of the adjoint Higgs fields. Finally, a reduced set of equations for the center vortex profile functions is obtained (for N=2,3). In particular, Z(3) BPS vortices come in three colours and three anticolours, obtained from an ansatz based on the defining representation and its conjugate.