Vortices, Painlevé integrability and projective geometry

  title={Vortices, Painlevé integrability and projective geometry},
  author={Felipe Contatto},
  journal={arXiv: Mathematical Physics},
  • Felipe Contatto
  • Published 7 April 2018
  • Mathematics
  • arXiv: Mathematical Physics
The first half of the thesis concerns Abelian vortices and Yang-Mills (YM) theory. It is proved that the 5 types of vortices recently proposed by Manton are symmetry reductions of (A)SDYM equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. As a consequence, the twistor integrability results of such vortices can be derived. It is presented a natural definition of their kinetic energy and thus the metric of the moduli space was calculated by the Samols… 

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