Abstract
An \( \mathcal{N} \) = 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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This work was supported by the Russian Science Foundation, grant No 23-11-00002.
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Galajinsky, A. Integrability of \( \mathcal{N} \) = 1 supersymmetric Ruijsenaars-Schneider three-body system. J. High Energ. Phys. 2023, 8 (2023). https://doi.org/10.1007/JHEP11(2023)008
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DOI: https://doi.org/10.1007/JHEP11(2023)008