Supersymmetric Ruijs']jsenaars-Schneider Model

被引：18

作者：

Blondeau-Fournier, O. ^{[1
]}

Desrosiers, P. ^{[1
,2
]}

Mathieu, P. ^{[1
]}

机构：

[1] Univ Laval, Dept Phys Genie Phys & Opt, Quebec City, PQ G1V 0A6, Canada

[2] CRIUSMQ, Quebec City, PQ G1J 2G3, Canada

来源：

PHYSICAL REVIEW LETTERS | 2015年 / 114卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

MANY-BODY PROBLEM; JACK POLYNOMIALS; CALOGERO; SYSTEMS;

D O I：

10.1103/PhysRevLett.114.121602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An integrable supersymmetric generalization of the trigonometric Ruijsenaars-Schneider model is presented whose symmetry algebra includes the super Poincare algebra. Moreover, its Hamiltonian is shown to be diagonalized by the recently introduced Macdonald superpolynomials. Somewhat surprisingly, the consistency of the scalar product forces the discreteness of the Hilbert space.

引用

页数：5

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