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Vortices, Painlevé integrability and projective geometry

Contatto, FelipeUniversity of Cambridge2018

… and Yang-Mills theory. It is proved that the 5 types of vortices recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. As a consequence, the twistor integrability …

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