Remarks on integrability of N = 1 supersymmetric Ruijsenaars-Schneider three-body models

Bibliographic Details
Parent link:Journal of High Energy Physics.— .— New York: Springer Science+Business Media LLC.
Vol. 2024, No. 5.— 2024.— Article number 129, 17 p.
Main Author: Galajinsky A. V. Anton Vladimirovich
Corporate Author: National Research Tomsk Polytechnic University
Summary:Title screen
Integrability of 𝑁 = 1 supersymmetric Ruijsenaars-Schneider three-body models based upon the potentials 𝑊(𝑥)=2𝑥, 𝑊(𝑥)=2sin𝑥, and 𝑊(𝑥)=2sinh𝑥 is proven. The problem of constructing an algebraically resolvable set of Grassmann-odd constants of motion is reduced to finding a triplet of vectors such that all their scalar products can be expressed in terms of the original bosonic first integrals. The supersymmetric generalizations are used to build novel integrable (iso)spin extensions of the respective Ruijsenaars-Schneider three-body systems
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Published: 2024
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Online Access:https://doi.org/10.1007/JHEP05(2024)129
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=672842