JNR Monopoles
Differential Geometry
2019-12-13 v1
Abstract
We review the theory of JNR, mass 1/2 hyperbolic monopoles in particular their spectral curves and rational maps. These are used to establish conditions for a spectral curve to be the spectral curve of a JNR monopole and to show that that rational map of a JNR monopole monopole arises by scattering using results of Atiyah. We show that for JNR monopoles the holomorphic sphere has a remarkably simple form and show that this can be used to give a formula for the energy density at infinity. In conclusion we illustrate some examples of the energy-density at infinity of JNR monopoles.
Cite
@article{arxiv.1912.05718,
title = {JNR Monopoles},
author = {Michael K. Murray and Paul Norbury},
journal= {arXiv preprint arXiv:1912.05718},
year = {2019}
}