On the realization of infinite (continuous) spin field representations in AdS4 space

IF 4.3 2区物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS

Physics Letters B Pub Date : 2025-02-01 DOI:10.1016/j.physletb.2024.139226

I.L. Buchbinder , S.A. Fedoruk , A.P. Isaev , M.A. Podoinitsyn

{"title":"On the realization of infinite (continuous) spin field representations in AdS4 space","authors":"I.L. Buchbinder , S.A. Fedoruk , A.P. Isaev , M.A. Podoinitsyn","doi":"10.1016/j.physletb.2024.139226","DOIUrl":null,"url":null,"abstract":"<div><div>We study the symmetry properties of infinite spin fields in <span><math><mi>Ad</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span> space which are involved in the Lagrangian model proposed in <span><span><span>arXiv:2403.14446 [hep-th]</span></span><svg><path></path></svg></span> where the main role is played by operator constraints. It is shown that the conditions defining infinite spin states in <span><math><mi>Ad</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span> space are <span><math><mrow><mi>SO</mi></mrow><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></span>-invariant. It is found that in the model under consideration the Casimir operators are completely fixed by the constraint operators and only one of the Casimir operators is independent. It is shown that in this model, infinite spin fields in <span><math><mi>Ad</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span> space are described by the most degenerate representations of the <span><math><mrow><mi>SO</mi></mrow><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></span> group.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"861 ","pages":"Article 139226"},"PeriodicalIF":4.3000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0370269324007846","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}

引用次数: 0

Abstract

We study the symmetry properties of infinite spin fields in

Ad S_{4}

space which are involved in the Lagrangian model proposed in arXiv:2403.14446 [hep-th] where the main role is played by operator constraints. It is shown that the conditions defining infinite spin states in

Ad S_{4}

space are

SO (2, 3)

-invariant. It is found that in the model under consideration the Casimir operators are completely fixed by the constraint operators and only one of the Casimir operators is independent. It is shown that in this model, infinite spin fields in

Ad S_{4}

space are described by the most degenerate representations of the

SO (2, 3)

group.

查看原文本刊更多论文

AdS4空间中无限（连续）自旋场表示的实现

在arXiv:2403.14446 [help -th]中提出的拉格朗日模型中，我们研究了AdS4空间中无限自旋场的对称性，其中算子约束起主要作用。证明了AdS4空间中定义无限自旋态的条件是SO（2,3）不变的。在考虑的模型中，卡西米尔算子完全被约束算子固定，只有一个卡西米尔算子是独立的。结果表明，在该模型中，AdS4空间中的无限自旋场由SO（2,3）群的最简并表示来描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Physics Letters B 物理-物理：综合

CiteScore

9.10

自引率

6.80%

发文量

647

审稿时长

3 months

期刊介绍： Physics Letters B ensures the rapid publication of important new results in particle physics, nuclear physics and cosmology. Specialized editors are responsible for contributions in experimental nuclear physics, theoretical nuclear physics, experimental high-energy physics, theoretical high-energy physics, and astrophysics.