Exact Yangian Symmetry in the Classical Euler-Calogero-Moser Model

TL;DR

This paper demonstrates that the elliptic Euler-Calogero-Moser model exhibits an exact Yangian symmetry in the trigonometric limit, with the $r$-matrix explicitly computed.

Contribution

It provides the explicit $r$-matrix for the model and establishes the presence of Yangian symmetry in the trigonometric limit, advancing understanding of integrable systems.

Findings

Explicit $r$-matrix computed for the elliptic Euler-Calogero-Moser model.

Yangian symmetry confirmed in the trigonometric limit.

Enhances the mathematical framework of integrable models.

Abstract

We compute the $r$-matrix for the elliptic Euler-Calogero-Moser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry.