Double Elliptic Systems: Problems and Perspectives

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This talk presents a list of problems related to the double-elliptic (Dell) integrable systems with elliptic dependence on both momenta and coordinates. As expected, in the framework of Seiberg-Witten theory the recently discovered explicit self-dual family of 2-particle Dell Hamiltonians provides a perturbative period matrix which is a logarithm of the ratio of the (momentum-space) theta-functions.
18 pages, LaTeX; talk presented at the International Workshop "Supersymmetries and quantum symmetries", Dubna, July 1999

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