Vortex solutions of the Popov equations
High Energy Physics - Theory
2015-06-12 v2
Abstract
Popov recently discovered a modified version of the Bogomolny equations for abelian Higgs vortices, and showed they were integrable on a sphere of curvature 1/2. Here we construct a large family of explicit solutions, where the vortex number is an even integer. There are also a few solutions without vortices. The solutions are constructed from rational functions on the sphere.
Keywords
Cite
@article{arxiv.1211.4352,
title = {Vortex solutions of the Popov equations},
author = {N. S. Manton},
journal= {arXiv preprint arXiv:1211.4352},
year = {2015}
}
Comments
Version 2, 9 pages. Additional discussion of vortex energies. This version solves equations for vortices, rather than anti-vortices. Vortices are "holomorphic" and have positive first Chern number