Integrable (2k)-Dimensional Hitchin Equations

被引：3

作者：

Ward, R. S. ^{[1
]}

机构：

[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2016年 / 106卷 / 07期

基金：

英国科学技术设施理事会;

关键词：

gauge theory; Higgs; integrable system; SELF-DUALITY EQUATIONS; GREATER-THAN; 4; INSTANTONS; DIMENSIONS; CONSTRUCTION; MONOPOLES; GEOMETRY; FIELDS; SPACES;

D O I：

10.1007/s11005-016-0849-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This letter describes a completely integrable system of Yang-Mills-Higgs equations which generalizes the Hitchin equations on a Riemann surface to arbitrary k-dimensional complex manifolds. The system arises as a dimensional reduction of a set of integrable Yang-Mills equations in 4k real dimensions. Our integrable system implies other generalizations such as the Simpson equations and the non-abelian Seiberg-Witten equations. Some simple solutions in the k = 2 case are described.

引用

页码：951 / 958

页数：8

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