Non-Abelian Vortices on the Torus

Abstract

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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Cited by in corpus (5)

• Fractional and semi-local non-Abelian Chern-Simons vortices
• Vortex counting from field theory
• Vortices on Orbifolds
• Quantum corrections to vortex masses and energies
• Existence theorems for non-Abelian Chern--Simons--Higgs vortices with flavor