Totally classical Calogero model
Mathematical Physics
2016-11-03 v2 High Energy Physics - Theory
math.MP
Abstract
We show that the standard Calogero Lax matrix can be interpreted as a function on the fuzzy sphere and the Avan-Talon r-matrix as a function on the direct product of two fuzzy spheres. We calculate the limiting Lax function and r-function when the fuzzy sphere tends to the ordinary sphere and we show that they define an integrable model interpreted as a large N Calogero model by Bordemann, Hoppe and Theisen.
Cite
@article{arxiv.1207.3657,
title = {Totally classical Calogero model},
author = {C. Klimcik},
journal= {arXiv preprint arXiv:1207.3657},
year = {2016}
}
Comments
13 pages, revised version taking into account relevant results by Bordemann, Hoppe and Theisen