English

Non-Abelian Vortices on the Torus

High Energy Physics - Theory 2009-06-11 v1

Abstract

We study periodic arrays of non-Abelian vortices in an SU(N)×U(1)SU(N) \times U(1) gauge theory with NfN_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.

Keywords

Cite

@article{arxiv.0708.2386,
  title  = {Non-Abelian Vortices on the Torus},
  author = {G. S. Lozano and D. Marques and F. A. Schaposnik},
  journal= {arXiv preprint arXiv:0708.2386},
  year   = {2009}
}
R2 v1 2026-06-21T09:08:22.452Z