Supersymmetric Ruijsenaars-Schneider Model

O. Blondeau-Fournier, P. Desrosiers, and P. Mathieu
Phys. Rev. Lett. 114, 121602 – Published 24 March 2015

Abstract

An integrable supersymmetric generalization of the trigonometric Ruijsenaars-Schneider model is presented whose symmetry algebra includes the super Poincaré algebra. Moreover, its Hamiltonian is shown to be diagonalized by the recently introduced Macdonald superpolynomials. Somewhat surprisingly, the consistency of the scalar product forces the discreteness of the Hilbert space.

  • Received 18 March 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.121602

© 2015 American Physical Society

Authors & Affiliations

O. Blondeau-Fournier1,*, P. Desrosiers1,2,†, and P. Mathieu1,‡

  • 1Département de physique, de génie physique et d’optique, Université Laval, Québec, Canada G1V 0A6
  • 2CRIUSMQ, 2601 de la Canardière, Québec, Canada G1J 2G3

  • *olivier.b-fournier.1@ulaval.ca
  • patrick.desrosiers.1@ulaval.ca
  • pmathieu@phy.ulaval.ca

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Issue

Vol. 114, Iss. 12 — 27 March 2015

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