Integrability and Seiberg-Witten theory

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A summary of results is presented, which provide exact description of the low-energy $4d$ $N=2$ and $N=4$ SUSY gauge theories in terms of $1d$ integrable systems.
21 pages, talk given by A.M. in the conference `` Frontiers in Quantum Field Theory'' in honor of Professor Keiji Kikkawa's 60th birthday

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