Some exact Bradlow vortex solutions
High Energy Physics - Theory
2017-05-10 v3 Mathematical Physics
math.MP
Abstract
We consider the Bradlow equation for vortices which was recently found by Manton and find a two-parameter class of analytic solutions in closed form on nontrivial geometries with non-constant curvature. The general solution to our class of metrics is given by a hypergeometric function and the area of the vortex domain by the Gaussian hypergeometric function.
Cite
@article{arxiv.1701.04356,
title = {Some exact Bradlow vortex solutions},
author = {Sven Bjarke Gudnason and Muneto Nitta},
journal= {arXiv preprint arXiv:1701.04356},
year = {2017}
}
Comments
LaTeX: 16 pages, no figures; V2: references added, minor additions; V3 (published version): toy model added as section 3 and conjecture 1 added in section 4.1