Integrable (2k)-Dimensional Hitchin Equations

Ward, R.S.

doi:10.1007/s11005-016-0849-3

Integrable (2k)-Dimensional Hitchin Equations

Ward, R.S.

Authors

R.S. Ward

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.

Citation

Ward, R. (2016). Integrable (2k)-Dimensional Hitchin Equations. Letters in Mathematical Physics, 106(7), 951-958. https://doi.org/10.1007/s11005-016-0849-3

Journal Article Type	Article
Acceptance Date	Apr 24, 2016
Online Publication Date	May 6, 2016
Publication Date	Jul 1, 2016
Deposit Date	May 9, 2016
Publicly Available Date	May 6, 2017
Journal	Letters in Mathematical Physics
Print ISSN	0377-9017
Electronic ISSN	1573-0530
Publisher	Springer
Peer Reviewed	Peer Reviewed
Volume	106
Issue	7
Pages	951-958
DOI	https://doi.org/10.1007/s11005-016-0849-3
Related Public URLs	http://arxiv.org/abs/1604.07247