Duality in integrable systems and gauge theories

Vladimir Fock, Alexander Gorsky, Nikita Nekrasov, Vladimir Rubtsov

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65 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)19-39
Number of pages21
JournalJournal of High Energy Physics
Issue number7 PART B
Publication statusPublished - 2000
Externally publishedYes


  • Duality in Gauge Field Theories
  • Non-perturbative Effects
  • Topological Field Theories


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