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The supersymmetric Ruijsenaars-Schneider model (1403.4667v2)
Published 19 Mar 2014 in hep-th, math-ph, and math.MP
Abstract: An integrable supersymmetric generalization of the trigonometric Ruijsenaars-Schneider model is presented whose symmetry algebra includes the super Poincar\'e algebra. Moreover, its Hamiltonian is showed to be diagonalized by the recently introduced Macdonald superpolynomials. Somewhat surprisingly, the consistency of the scalar product forces the discreteness of the Hilbert space.
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