Real Forms of Elliptic Integrable Systems


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Abstract

We describe the real forms of classical elliptic integrable systems such as the elliptic Calogero-Moser system and the elliptic Euler-Arnold top in the framework of a general scheme for constructing real reductions for a Hitchin system.

About the authors

A. M. Grekov

Institute for Theoretical and Experimental Physics; Moscow Institute of Physics and Technology; Skolkovo Institute for Science and Technology

Author for correspondence.
Email: grekovandrew@mail.ru
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast; Moscow

E. I. Dotsenko

Institute for Theoretical and Experimental Physics; Moscow Institute of Physics and Technology; Skolkovo Institute for Science and Technology

Author for correspondence.
Email: edotsenko95@gmail.com
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast; Moscow

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