Noncommutative monopoles and Riemann-Hilbert problems

被引：0

作者：

Lechtenfeld, O ^{[1
]}

Popov, AD ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2004年 / 01期

关键词：

solitons monopoles and instantons; non-commutative geometry; integrable equations in physics;

D O I：

暂无

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system of linear equations which may be solved through a parametric Riemann-Hilbert problem. We extend this approach to noncommutative R-3 and use it to (re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in a unified manner. In all cases we write down the underlying matrix-valued functions for multi-monopoles and solve the corresponding Riemann-Hilbert problems for charge one.

引用

页数：45

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