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.
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Ward, R.S. Integrable (2k)-Dimensional Hitchin Equations. Lett Math Phys 106, 951–958 (2016). https://doi.org/10.1007/s11005-016-0849-3
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DOI: https://doi.org/10.1007/s11005-016-0849-3