# Nonlinear supersymmetry in the quantum Calogero model

@article{Correa2014NonlinearSI,
title={Nonlinear supersymmetry in the quantum Calogero model},
author={Francisco Correa and Olaf Lechtenfeld and Mikhail S. Plyushchay},
journal={Journal of High Energy Physics},
year={2014},
volume={2014},
pages={1-24}
}
• Published 19 December 2013
• Mathematics
• Journal of High Energy Physics
A bstractIt is long known that the rational Calogero model describing n identical particles on a line with inverse-square mutual interaction potential is quantum superintegrable. We review the (nonlinear) algebra of the conserved quantum charges and the intertwiners which relate the Liouville charges at couplings g and g±1. For integer values of g, these intertwiners give rise to additional conserved charges commuting with all Liouville charges and known since the 1990s. We give a direct…
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