Analytic vortex solutions on compact hyperbolic surfaces
High Energy Physics - Theory
2015-05-29 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct, for the first time, Abelian-Higgs vortices on certain compact surfaces of constant negative curvature. Such surfaces are represented by a tessellation of the hyperbolic plane by regular polygons. The Higgs field is given implicitly in terms of Schwarz triangle functions and analytic solutions are available for certain highly symmetric configurations.
Keywords
Cite
@article{arxiv.1502.01990,
title = {Analytic vortex solutions on compact hyperbolic surfaces},
author = {R. Maldonado and N. S. Manton},
journal= {arXiv preprint arXiv:1502.01990},
year = {2015}
}
Comments
21 pages, 6 figures