BPS Center Vortices in NonrelativisticSU(N)Gauge Models with Adjoint Higgs Fields

Abstract

We propose a class ofSU(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 (forN=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.