Nonlinear supersymmetry in the quantum Calogero model

  title={Nonlinear supersymmetry in the quantum Calogero model},
  author={Francisco Correa and Olaf Lechtenfeld and Mikhail S. Plyushchay},
  journal={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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