Supersymmetric Calogero-Moser-Sutherland models: superintegrability structure and eigenfunctions

  title={Supersymmetric Calogero-Moser-Sutherland models: superintegrability structure and eigenfunctions},
  author={P. Desrosiers and L. Lapointe and P. Mathieu},
  journal={arXiv: High Energy Physics - Theory},
  • P. Desrosiers, L. Lapointe, P. Mathieu
  • Published 2002
  • Mathematics, Physics
  • arXiv: High Energy Physics - Theory
  • We first review the construction of the supersymmetric extension of the (quantum) Calogero-Moser-Sutherland (CMS) models. We stress the remarkable fact that this extension is completely captured by the insertion of a fermionic exchange operator in the Hamiltonian: sCMS models ({\it s} for supersymmetric) are nothing but special exchange-type CMS models. Under the appropriate projection, the conserved charges can thus be formulated in terms of the standard Dunkl operators. This is illustrated in… CONTINUE READING
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