Integrable (2k)-Dimensional Hitchin Equations

Ward, R.S.

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
• Public URL: https://durham-repository.worktribe.com/output/1384890
• Related Public URLs: http://arxiv.org/abs/1604.07247