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.

References in corpus (4)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• TASI Lectures on Solitons
• Non-Abelian Chern-Simons Vortices
• Non-Abelian vortices in Chern-Simons theories and their induced effective theory