The rational Ruijsenaars-Schneider model admits a one-parameter deformation realizing the anti-de Sitter algebra, while the hyperbolic and trigonometric variants are incompatible.
Calogero, Classical many–body problems amenable to exact treatments, Lecture Notes in Physics: Monographs 66, Springer, 2001
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Rational Ruijsenaars-Schneider model with cosmological constant
The rational Ruijsenaars-Schneider model admits a one-parameter deformation realizing the anti-de Sitter algebra, while the hyperbolic and trigonometric variants are incompatible.