Maximally non-abelian vortices from self-dual Yang-Mills fields

被引：11

作者：

Manton, Nicholas S. ^{[1
]}

Sakai, Norisuke ^{[2
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

[2] Tokyo Womans Christian Univ, Dept Math, Tokyo 1678585, Japan

来源：

PHYSICS LETTERS B | 2010年 / 687卷 / 4-5期

关键词：

Non-abelian vortices; Self-dual Yang-Mills fields; Dimensional reduction; Master equations; Hyperbolic vortices; SPHERICALLY SYMMETRIC EQUATIONS; GAUGE; SPACE;

D O I：

10.1016/j.physletb.2010.03.017

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A particular dimensional reduction of SU(2N) Yang-Mills theory on Sigma x S-2, with Sigma a Riemann surface, yields an S(U(N) x U(N)) gauge theory on Sigma, with a matrix Higgs field. The SU(2N) self-dual Yang-Mills equations reduce to Bogomolny equations for vortices on Sigma. These equations are formally integrable if Sigma is the hyperbolic plane, and we present a subclass of solutions. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：395 / 399

页数：5

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