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The supersymmetric Ruijsenaars-Schneider model

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arxiv 1403.4667 v2 pith:GYCT4Q2Y submitted 2014-03-19 hep-th math-phmath.MP

Olivier Blondeau-Fournier , Patrick Desrosiers , Pierre Mathieu This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords algebramodelruijsenaars-schneidersupersymmetricconsistencydiagonalizeddiscretenessforces
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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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  1. Super-Hamiltonians for super-Macdonald polynomials

    hep-th 2025-01 conditional novelty 6.0 of 10

    Explicit vertex-operator super-Hamiltonians are conjectured whose eigenfunctions are the super-Macdonald polynomials of earlier work.

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