Bogomolny equations for vortices in the noncommutative torus

Abstract

We derive Bogomolny-type equations for the Abelian Higgs model defined on the noncommutative torus and discuss its vortex like solutions. To this end, we carefully analyze how periodic boundary conditions have to be handled in noncommutative space and discussed how vortex solutions are constructed. We also consider the extension to an $U(2)\times U(1)$ model, a simplified prototype of the noncommutative standard model.

arXiv comment23 pages, no figures

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Cited by in corpus (4)

• Non-Abelian Vortices on the Torus
• Dynamics of critical vortices on the torus and on the plane
• Integrability in Theories with Local U(1) Gauge Symmetry
• Vortex solutions in the noncommutative torus