Totally classical Calogero model

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.

13 pages, revised version taking into account relevant results by Bordemann, Hoppe and Theisen

References in corpus (4)

• Physics and Mathematics of Calogero particles
• Near-Horizon Conformal Structure of Black Holes
• Integrable hydrodynamics of Calogero-Sutherland model: Bidirectional Benjamin-Ono equation
• Large N limit of Calogero-Moser models and Conformal Field Theories