Realization of the Infinite-Dimensional 3-Algebras in the Calogero-Moser Model

被引：0

作者：

杨燕新 ^{[1
,2
]}

姚少魁 ^{[2
]}

张春红 ^{[2
]}

赵伟忠 ^{[2
]}

机构：

[1] College of Arts and Sciences,Shanxi Agricultural University

[2] School of Mathematical Sciences,Capital Normal University

来源：

Chinese Physics Letters | 2015年 / 04期

基金：

中国国家自然科学基金;

关键词：

Realization of the Infinite-Dimensional 3-Algebras in the Calogero-Moser Model;

D O I：

暂无

中图分类号：

O152.5 [李群];

学科分类号：

070104 ;

摘要：

We investigate realization of the infinite-dimensional 3-algebras in the classical Calogero-Moser model.In terms of the Lax matrix of the Calogero-Moser model and the Nambu 3-brackets in which the variables are the coordinates qi,and canonically conjugate momenta pi and the coupling parameterβare an extra auxiliary phase-space parameter,we present the realization of the Virasoro-Witt,W∞and SDiff（T2）3-algebras,respectively.

引用

页码：9 / 12

页数：4

共 50 条

[41] Bethe Algebra of Gaudin Model, Calogero-Moser Space, and Cherednik Algebra
Mukhin, E.
Tarasov, V.
Varchenko, A.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 2014 (05) : 1174 - 1204
[42] Nondynamical r-matrix structure for the trigonometric Calogero-Moser model
Zhen, Y
Yang, WL
Hou, BY
Chen, K
HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION, 1999, 23 (09): : 854 - 858
[43] Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism
Etingof, P
Ginzburg, V
INVENTIONES MATHEMATICAE, 2002, 147 (02) : 243 - 348
[44] Fluctuations in the active Dyson Brownian motion and the overdamped Calogero-Moser model
Touzo, Leo
Le Doussal, Pierre
Schehr, Gregory
PHYSICAL REVIEW E, 2024, 109 (01)
[45] Infinite-dimensional triangularizable algebras
Mesyan, Zachary
FORUM MATHEMATICUM, 2019, 31 (01) : 19 - 33
[46] Integrable and superintegrable extensions of the rational Calogero-Moser model in three dimensions
Fordy, Allan P.
Huang, Qing
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (22)
[47] Bosonic realization of algebras in the Calogero model
Jonke, L
Meljanac, S
PHYSICS LETTERS B, 2002, 526 (1-2) : 149 - 156
[48] The nondynamical r-matrix structure of the elliptic Calogero-Moser model
Hou, BY
Yang, WL
LETTERS IN MATHEMATICAL PHYSICS, 1998, 44 (01) : 35 - 41
[49] On the solutions of 3-particle spin elliptic Calogero-Moser systems
Barba, J. C.
Inozemtsev, V. I.
PHYSICS LETTERS A, 2008, 372 (38) : 5951 - 5954
[50] Infinite-Dimensional Algebras as Extensions of Kinematic Algebras
Gomis, Joaquim
Kleinschmidt, Axel
FRONTIERS IN PHYSICS, 2022, 10

← 1 2 3 4 5 →