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Integrable (2k)-dimensional Hitchin equations.

Ward, R. S. (2016) 'Integrable (2k)-dimensional Hitchin equations.', Letters in mathematical physics., 106 (7). pp. 951-958.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/s11005-016-0849-3
Publisher statement:The final publication will be available at Springer via http://dx.doi.org/10.1007/s11005-016-0849-3
Date accepted:24 April 2016
Date deposited:18 May 2016
Date of first online publication:06 May 2016
Date first made open access:06 May 2017

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