Duality in Integrable Systems and Gauge Theories

  title={Duality in Integrable Systems and Gauge Theories},
  author={Valerie Fock and A. Gorsky and Nikita Nekrasov and Vladimir Rubtsov},
We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of Hamiltonian and Poisson reductions. The dualities we study shed some light on the known integrable systems as well as allow to construct new ones, double elliptic among them. We also discuss applications to the (supersymmetric) gauge theories in various dimensions. 

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