From Nonperturbative SUSY Gauge Theories to Integrable Systems
نویسنده
چکیده
I review the appearence of integrable structures in the formulation of exact nonperturbative solutions to 4d supersymmetric quantum gauge theories. Various examples of N ≥ 2 SUSY Yang-Mills nonperturbative solutions are adequately described in terms of the (deformations of the) finite-gap solutions to integrable models: through the generating differential and the τ -function. One of the basic definitions of generating differential is discussed and its role in the theory of integrable systems is demonstrated.
منابع مشابه
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The properties of theN = 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 theori...
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