Integrable (2k)-Dimensional Hitchin Equations
Mathematical Physics
2016-05-25 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.1604.07247,
title = {Integrable (2k)-Dimensional Hitchin Equations},
author = {R. S. Ward},
journal= {arXiv preprint arXiv:1604.07247},
year = {2016}
}
Comments
11 pages, 1 figure