

Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
October 14, 2015 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)






Doubleelliptic integrable systems
G. Aminov^{} ^{} State Scientific Center of the Russian Federation  Institute for Theoretical and Experimental Physics, Moscow

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Abstract:
The talk concerns the study of the p,qduality in the theory of integrable systems. In particular, we will focus
on the recent works, where a new approach to obtain the multiparticle generalization of the elliptic p–q dual
integrable systems was developed. The list of these systems includes duals to elliptic Calogero and elliptic
Ruijsenaars models. The most interesting are the doubleelliptic integrable systems, where both coordinates and
momenta take values on elliptic curves. From the point of view of the lowenergy effective actions of Yang–Mills
theories these integrable systems are associated with (compactified) sixdimensional SUSY gauge theories and are
strongly involved in modern discussion of the Seiberg–Witten theory.

