On integrable systems and supersymmetric gauge theories

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21 Citations (Scopus)


We discuss the properties of script N sign = 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 the script N sign = 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.

Original languageEnglish
Pages (from-to)791-826
Number of pages36
JournalTheoretical and Mathematical Physics
Issue number1
Publication statusPublished - Jul 1997
Externally publishedYes


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