N=2 supersymmetric hyperbolic Calogero-Sutherland model

被引：6
|
作者：
Fedoruk, Sergey [1 ]
机构：
[1] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia
来源：
NUCLEAR PHYSICS B | 2020年 / 953卷
基金：
俄罗斯科学基金会;
关键词：
QUANTUM INTEGRABLE SYSTEMS; BODY PROBLEMS; MECHANICS;
D O I：
10.1016/j.nuclphysb.2020.114977
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：
The N = 2 supersymmetric hyperbolic Calogero-Sutherland model obtained in arXiv:1902.08023by gauging the N = 2 superfield matrix system is studied. Classical and quantum N = 2 supersymmetry generators are found. The difference in the structure of classical and quantum supercharges is established. It is shown that, unlike classical supercharges, quantum supersymmetry generators can be limited to an invariant sub-sector that does not contain off-diagonal fermion operators. The Lax pair for supersymmetric generalization of the hyperbolic Calogero-Sutherland system is constructed. (C) 2020 The Author(s). Published by Elsevier B.V.
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页数：17
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