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Integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body system

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arxiv 2309.13891 v1 pith:VWQBNXTM submitted 2023-09-25 nlin.SI hep-th

Anton Galajinsky This is my paper · ORCID
classification nlin.SIhep-th
keywords ruijsenaars-schneidersupersymmetricthree-bodyextensionintegrabilitysystemalgebraicbuild
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An N=1 supersymmetric extension of the Ruijsenaars-Schneider three-body model is constructed and its integrability is established. In particular, three functionally independent Grassmann-odd constants of the motion are given and their algebraic resolvability is proven. The supersymmetric generalization is used to build a novel integrable isospin extension of the Ruijsenaars-Schneider three-body system.

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Cited by 1 Pith paper

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  1. Rational Ruijsenaars-Schneider model with cosmological constant

    hep-th 2024-11 conditional novelty 7.0 of 10

    The rational Ruijsenaars-Schneider model admits a one-parameter deformation realizing the anti-de Sitter algebra, while the hyperbolic and trigonometric variants are incompatible.

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