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arXiv · 1912.05718

JNR Monopoles

Michael K. Murray·Paul Norbury
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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.

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Michael K. Murray, Paul Norbury. 2019-12-12. JNR Monopoles. https://arxiv.org/abs/1912.05718

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