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Integrable (2k)-Dimensional Hitchin Equations

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 نشر من قبل R. S. Ward
 تاريخ النشر 2016
  مجال البحث فيزياء
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 تأليف R. S. Ward




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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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