Existence of Hyperbolic Calorons
Mathematical Physics
2017-09-14 v1 math.MP
Abstract
Recent work of Harland shows that the -symmetric, dimensionally-reduced, charge- self-dual Yang--Mills calorons on the hyperbolic space may be obtained through constructing -vortex solutions of an Abelian Higgs model as in the study of Witten on multiple instantons. In this paper we establish the existence of such minimal action charge- calorons by constructing arbitrarily prescribed -vortex solutions of the Witten type equations.
Cite
@article{arxiv.1503.01198,
title = {Existence of Hyperbolic Calorons},
author = {Lesley Sibner and Robert Sibner and Yisong Yang},
journal= {arXiv preprint arXiv:1503.01198},
year = {2017}
}
Comments
19 pages, accepted for publication, Proceedings of Royal Society (London), Series A, 2015