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Theoretical and Mathematical Physics

, Volume 112, Issue 1, pp 791–826 | Cite as

On integrable systems and supersymmetric gauge theories

  • A. V. Marshakov
Article

Abstract

We discuss the properties ofN=2 supersymmetric gauge theories underlying the Seiberg-Witten hypothesis. We consider the main points of the theory that describes the finite-gap solutions to integrable equations in terms of complex curves and generating differentials. We clarify the invariant meaning of these definitions. This formalism is applied to the exact nonperturbative solutions found recently in theN=2 supersymmetric non-Abelian gauge theories. In the known cases, we compare this formalism with the results that can be obtained using standard quantum field-theory methods.

Keywords

Modulus Space Riemann Surface Supersymmetric Gauge Theory Hyperelliptic Curve Toda Chain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • A. V. Marshakov
    • 1
    • 2
  1. 1.Theory DepartmentLebedev Physics InstituteMoscowRussia
  2. 2.ITEPMoscowRussia

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