A Conjectured R-Matrix

Abstract

A new spectral parameter independent R-matrix (that depends on all of the dynamical variables) is proposed for the elliptic Calogero-Moser models. Necessary and sufficient conditions for this R-matrix to exist reduce to an equality between determinants of matrices involving elliptic functions. The needed identity appears new and is still unproven in full generality: we present it as a conjecture.

12 pages Latex

References in corpus (1)

• Separation of variables for the Ruijsenaars system

Cited by in corpus (5)

• Seiberg-Witten Theory and Integrable Systems
• Seiberg-Witten Theory and Calogero-Moser Systems
• G(2)-Calogero-Moser Lax operators from reduction
• Non-crystallographic reduction of generalized Calogero-Moser models
• The classical r-matrix in a geometric framework