Integrability of N=1 supersymmetric Ruijs']jsenaars-Schneider three-body system

被引：0
|
作者：
Galajinsky, Anton [1 ]
机构：
[1] Tomsk State Univ Control Syst & Radioelect, Lab Appl Math & Theoret Phys, Lenin Ave 40, Tomsk 634050, Russia
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2023年 / 11期
基金：
俄罗斯科学基金会;
关键词：
Integrable Field Theories; Supersymmetric Effective Theories; Superspaces; BLACK-HOLES;
D O I：
10.1007/JHEP11(2023)008
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Remarks on integrability of N=1 supersymmetric Ruijs']jsenaars-Schneider three-body models
    Galajinsky, Anton
    JOURNAL OF HIGH ENERGY PHYSICS, 2024, (05):
  • [2] Ruijs']jsenaars-Schneider three-body models with N=2 supersymmetry
    Galajinsky, Anton
    JOURNAL OF HIGH ENERGY PHYSICS, 2018, (04):
  • [3] On integrability of the deformed Ruijs']jsenaars-Schneider system
    Zabrodin, A. V.
    RUSSIAN MATHEMATICAL SURVEYS, 2023, 78 (02) : 349 - 386
  • [4] Supersymmetric Ruijs']jsenaars-Schneider Model
    Blondeau-Fournier, O.
    Desrosiers, P.
    Mathieu, P.
    PHYSICAL REVIEW LETTERS, 2015, 114 (12)
  • [5] On N=2 supersymmetric Ruijs']jsenaars-Schneider models
    Krivonos, Sergey
    Lechtenfeld, Olaf
    PHYSICS LETTERS B, 2020, 807
  • [6] Integrability of the Cn and BCn Ruijs']jsenaars-Schneider models
    Chen, K
    Hou, B
    Yang, WL
    JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (12) : 8132 - 8147
  • [7] Quantum versus classical integrability in Ruijs']jsenaars-Schneider systems
    Ragnisco, O
    Sasaki, R
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (02): : 469 - 479
  • [8] The Ruijs']jsenaars-Schneider model
    Braden, HW
    Sasaki, R
    PROGRESS OF THEORETICAL PHYSICS, 1997, 97 (06): : 1003 - 1017
  • [9] The Dn Ruijs']jsenaars-Schneider model
    Chen, K
    Hou, BY
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (37): : 7579 - 7589
  • [10] Note on Ruijs']jsenaars-Schneider Model
    Khastyan, E.
    Krivonos, S.
    Nersessian, A.
    PHYSICS OF PARTICLES AND NUCLEI, 2024, 55 (03) : 630 - 633
12345