Abelian Higgs Vortices and Discrete Conformal Maps
Mathematical Physics
2017-10-25 v1 Complex Variables
Differential Geometry
math.MP
Abstract
We establish a connection between recent developments in the study of vortices in the abelian Higgs models, and in the theory of structure-preserving discrete conformal maps. We explain how both are related via conformal mapping problems involving prescribed linear combinations of the curvature and volume form, and show how the discrete conformal theory can be used to construct discrete vortex solutions.
Keywords
Cite
@article{arxiv.1703.04735,
title = {Abelian Higgs Vortices and Discrete Conformal Maps},
author = {Alexander I. Bobenko and Ananth Sridhar},
journal= {arXiv preprint arXiv:1703.04735},
year = {2017}
}