JNR单极

IF 0.6 4区数学 Q3 MATHEMATICS

Quarterly Journal of Mathematics Pub Date : 2020-12-01 DOI:10.1093/qmath/haaa033

Michael K Murray;Paul Norbury

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引用次数: 1

摘要

我们回顾了JNR, mass $\frac{1}{2}$双曲单极子的理论，特别是它们的谱曲线和有理图。这些被用来建立谱曲线成为JNR单极子谱曲线的条件，并利用Atiyah的结果证明了JNR单极子的有理图是由散射产生的。我们证明了JNR单极子的全纯球有一个非常简单的形式，并证明了这可以用来给出无穷远处能量密度的公式。最后，我们举例说明了JNR单极子在无穷远处的能量密度。

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JNR monopoles

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.

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来源期刊

Quarterly Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.