{"title":"Additional symmetries for the N=2 supersymmetric Two-Boson hierarchy and the multi-component generalization","authors":"Jian Li , Chuanzhong Li","doi":"10.1016/j.geomphys.2025.105455","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":55602,"journal":{"name":"Journal of Geometry and Physics","volume":"211 ","pages":"Article 105455"},"PeriodicalIF":1.6000,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Geometry and Physics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0393044025000397","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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:
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• Geometry Approaches to Thermodynamics
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