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JNR monopoles
Quarterly Journal of Mathematics ( IF 0.7 ) Pub Date : 2021-01-13 , DOI: 10.1093/qmath/haaa033
Michael K Murray 1, 2 , Paul Norbury 1, 2
Affiliation  

We review the theory of JNR, mass |$\frac{1}{2}$| 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 the rational map of a JNR 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.

中文翻译:

JNR单极子

我们回顾了 JNR 的理论,质量|$\frac{1}{2}$| 双曲单极子,特别是它们的谱曲线和有理图。这些用于建立光谱曲线成为 JNR 单极子的光谱曲线的条件,并使用 Atiyah 的结果显示 JNR 单极子的有理图是通过散射产生的。我们表明,对于 JNR 单极子,全纯球体具有非常简单的形式,并表明这可用于给出无穷远处能量密度的公式。总之,我们说明了 JNR 单极子无穷远能量密度的一些例子。
更新日期:2021-01-13
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