Additional symmetries for the N=2 supersymmetric Two-Boson hierarchy and the multi-component generalization

IF 1.2 3区数学 Q1 MATHEMATICS Journal of Geometry and Physics Pub Date : 2025-05-01 Epub Date: 2025-02-18 DOI:10.1016/j.geomphys.2025.105455

Jian Li , Chuanzhong Li

引用次数: 0

Abstract

In this paper, we primarily define the N=2 supersymmetric Two-Boson integrable system using N=2 quantum superfields and introduce time variables derived from a non-abelian Lie superalgebra. We construct additional symmetries for the N=2 supersymmetric Two-Boson hierarchy through the Orlov-Schulman operator, which depend on the time variables and the dressing operator. Furthermore, we establish a relationship between the supersymmetric integrable system of N=2 quantum superfields and the Lie superalgebra. Finally, we extend the N=2 supersymmetric Two-Boson hierarchy to the multi-component case and construct the corresponding additional symmetries for it.

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N=2超对称双玻色子层次和多分量泛化的附加对称性

本文首先利用N=2量子超场定义了N=2超对称双玻色子可积系统，并引入了由非阿贝尔李超代数导出的时间变量。我们通过Orlov-Schulman算子构造了N=2超对称双玻色子层次的附加对称性，这些对称性依赖于时间变量和修饰算子。进一步，我们建立了N=2量子超场的超对称可积系统与李超代数之间的关系。最后，我们将N=2超对称双玻色子层次推广到多分量情况，并构造了相应的附加对称性。

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 Geometry and Physics 物理-物理：数学物理

CiteScore

2.90

自引率

6.70%

发文量

205

审稿时长

64 days

期刊介绍： The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields. The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered. The Journal covers the following areas of research: Methods of: • Algebraic and Differential Topology • Algebraic Geometry • Real and Complex Differential Geometry • Riemannian Manifolds • Symplectic Geometry • Global Analysis, Analysis on Manifolds • Geometric Theory of Differential Equations • Geometric Control Theory • Lie Groups and Lie Algebras • Supermanifolds and Supergroups • Discrete Geometry • Spinors and Twistors Applications to: • Strings and Superstrings • Noncommutative Topology and Geometry • Quantum Groups • Geometric Methods in Statistics and Probability • Geometry Approaches to Thermodynamics • Classical and Quantum Dynamical Systems • Classical and Quantum Integrable Systems • Classical and Quantum Mechanics • Classical and Quantum Field Theory • General Relativity • Quantum Information • Quantum Gravity

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