M. A. Olshanetsky, “Integrable extensions of classical elliptic integrable systems”, TMF, 2021, Volume 208, Number 2,Pages <nobr>245

Integrable extensions of classical elliptic integrable systems

M. A. Olshanetsky^abc

^a Alikhanov Institute for Theoretical and Experimental Physics of National Research Center "Kurchatov Institute", Moscow, Russia
^b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
^c Moscow Institute for Physics and Technology (National Research University), Dolgoprudny, Moscow Region, Russia

Abstract: In this article we consider two particular examples of general construction proposed in arXiv:2012.15529. We consider the integrable extensions of the classical elliptic Calogero-Moser model of N particles with spin and the integrable Euler-Arnold top related to the group SL(N,C). The extended systems has additional N-1 degrees of freedom and can be described in terms of the Darboux variables.

Keywords: Hitchin systems, Calogero–Moser model, Euler–Arnold top.

Received: 22.02.2021
Revised: 27.02.2021

DOI: 10.4213/tmf10079