Magnetic bag like solutions to the SU(2) monopole equations on R^3
Mathematical Physics
2015-06-15 v2 High Energy Physics - Theory
Differential Geometry
math.MP
Abstract
Solutions to the SU(2) monopole equations in the Bogolmony limit are constructed that look very much like Bolognesi's conjectured magnetic bag solutions. Three theorems are also stated and proved that give bounds in terms of the topological charge for the radii of balls where the solution's Higgs field has very small norm
Keywords
Cite
@article{arxiv.1302.5314,
title = {Magnetic bag like solutions to the SU(2) monopole equations on R^3},
author = {Clifford H. Taubes},
journal= {arXiv preprint arXiv:1302.5314},
year = {2015}
}
Comments
Corrected statement of Theorem 1.1