Non-Abelian Vortices on the Torus

Details Non-Abelian Vortices on the Torus Non-Abelian Vortices on the Torus

2007-08-17

arxiv.org/abs/0708.2386v1

JHEP 0709:095,2007

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/1126-6708/2007/09/095

We study periodic arrays of non-Abelian vortices in an $SU(N) \times U(1)$ gauge theory with $N_f$ flavors of fundamental matter multiplets. We carefully discuss the corresponding twisted boundary conditions on the torus and propose an ansatz to solve the first order Bogomolnyi equations which we find by looking to a bound of the energy. We solve the equations numerically and construct explicit vortex solutions.

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