S. Arthamonov, “New integrable systems as a limit of the elliptic <nobr>$SL(N,\mathbb C)$</nobr> top”, TMF, 2012, Volume 171, Number 2,Pages <nobr>196

This article is cited in 2 papers

New integrable systems as a limit of the elliptic $SL(N,\mathbb C)$ top

S. Arthamonov^ab

^a Moscow Institute for Physics and Technology, Moscow, Russia
^b Institute for Theoretical and Experimental Physics, Moscow, Russia

Abstract: We consider the scaling limit of an elliptic top. This limit is a combination of a scaling of the elliptic top variables, an infinite shift of the spectral parameter, and the trigonometric limit. We give general necessary constraints on the scaling of the variables and examples of such a degeneracy. A certain subclass of limit systems is integrable in the Liouville sense, which can also be shown directly.

Keywords: integrable system, Inozemtsev limit, integrability test, elliptic top.

Received: 16.05.2012

DOI: 10.4213/tmf8359