Integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body system
Exactly Solvable and Integrable Systems
2023-09-26 v1 High Energy Physics - Theory
Abstract
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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Cite
@article{arxiv.2309.13891,
title = {Integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body system},
author = {Anton Galajinsky},
journal= {arXiv preprint arXiv:2309.13891},
year = {2023}
}
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16 pages