Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-02-10
Theor.Math.Phys.112:791-826,1997; Teor.Mat.Fiz.112N1:3-46,1997
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 38 pages, no figures; based on the lecture given at INTAS School on Advances in Quantum Field Theory and Statistical Me
Scientific paper
10.1007/BF02634097
The properties of the N=2 SUSY gauge theories underlying the Seiberg-Witten hypothesis are discussed. The main ingredients of the formulation of the finite-gap solutions to integrable equations in terms of complex curves and generating 1-differential are presented, the invariant sense of these definitions is illustrated. Recently found exact nonperturbative solutions to N=2 SUSY gauge theories are formulated using the methods of the theory of integrable systems and where possible the parallels between standard quantum field theory results and solutions to integrable systems are discussed.
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