An elliptic generalization of Cherednik-Macdonald-Mehta identities is introduced using Shiraishi functions, with an elliptic matrix model and a proof to first order in the elliptic parameter.
Seiberg-Witten theory and duality in integrable systems
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abstract
These lectures are devoted to the low energy limit of \N2 SUSY gauge theories, which is described in terms of integrable systems. A special emphasis is on a duality that naturally acts on these integrable systems. The duality turns out to be an effective tool in constructing the double elliptic integrable system which describes the six-dimensional Seiberg-Witten theory. At the same time, it implies a series of relations between other Seiberg-Witten systems.
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Elliptic Generalization of Cherednik-Macdonald-Mehta identities
An elliptic generalization of Cherednik-Macdonald-Mehta identities is introduced using Shiraishi functions, with an elliptic matrix model and a proof to first order in the elliptic parameter.