Bogomolny equations for vortices in the noncommutative torus

Details Bogomolny equations for vortices in the noncommutative torus Bogomolny equations for vortices in the noncommutative torus

2005-03-22

arxiv.org/abs/hep-th/0503168v1

JHEP 0507 (2005) 074

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, no figures

Scientific paper

10.1088/1126-6708/2005/07/074

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.

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