Bogomolny equations for vortices in the noncommutative torus
High Energy Physics - Theory
2009-11-11 v1
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 model, a simplified prototype of the noncommutative standard model.
Keywords
Cite
@article{arxiv.hep-th/0503168,
title = {Bogomolny equations for vortices in the noncommutative torus},
author = {P. Forgacs and G. S. Lozano and E. F. Moreno and F. A. Schaposnik},
journal= {arXiv preprint arXiv:hep-th/0503168},
year = {2009}
}
Comments
23 pages, no figures