Integrability of $$ \mathcal{N} $$ = 1 supersymmetric Ruijsenaars-Schneider three-body system

IF 5 1区物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS

Journal of High Energy Physics Pub Date : 2023-11-02 DOI:10.1007/jhep11(2023)008

Anton Galajinsky

引用次数: 0

Abstract

A bstract An $$ \mathcal{N} $$ 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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$$ \mathcal{N} $$ = 1超对称rujsenaars - schneider三体系统的可积性

构造了rujsenaars - schneider三体模型的$$ \mathcal{N} $$ N = 1超对称推广，并证明了其可积性。特别地，给出了运动的三个函数无关的格拉斯曼奇常数，并证明了它们的代数可分辨性。利用超对称推广建立了rujsenaars - schneider三体系统的一种新的可积同位旋扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-

CiteScore

10.00

自引率

46.30%

发文量

2107

审稿时长

12 weeks

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).