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

Abstract EN

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.