{"title":"AdS Virasoro-Shapiro amplitude with KK modes","authors":"Giulia Fardelli, Tobias Hansen, Joao A. Silva","doi":"10.1007/jhep11(2023)064","DOIUrl":null,"url":null,"abstract":"A bstract We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on AdS 5 ×S 5 , which is dual to the correlator $$ \\left\\langle {\\mathcal{O}}_2{\\mathcal{O}}_2{\\mathcal{O}}_p{\\mathcal{O}}_p\\right\\rangle $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mfenced> <mml:mrow> <mml:msub> <mml:mi>O</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:msub> <mml:mi>O</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:msub> <mml:mi>O</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:msub> <mml:mi>O</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:mrow> </mml:mfenced> </mml:math> of half-BPS operators in $$ \\mathcal{N} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>N</mml:mi> </mml:math> = 4 SYM theory. The result has the form of an integral over the Riemann sphere as for the usual Virasoro-Shapiro amplitude, with the insertion of single-valued multiple polylogarithms of weight three. The result fixes OPE data of single-trace operators in $$ \\mathcal{N} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>N</mml:mi> </mml:math> = 4 SYM theory at strong coupling, including operators with non-zero R -charge and odd spin. We successfully check our results by comparing to data available from integrability, localisation and consistency with a 10 d effective action.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":" 12","pages":"0"},"PeriodicalIF":5.0000,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/jhep11(2023)064","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 0
Abstract
A bstract We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on AdS 5 ×S 5 , which is dual to the correlator $$ \left\langle {\mathcal{O}}_2{\mathcal{O}}_2{\mathcal{O}}_p{\mathcal{O}}_p\right\rangle $$ O2O2OpOp of half-BPS operators in $$ \mathcal{N} $$ N = 4 SYM theory. The result has the form of an integral over the Riemann sphere as for the usual Virasoro-Shapiro amplitude, with the insertion of single-valued multiple polylogarithms of weight three. The result fixes OPE data of single-trace operators in $$ \mathcal{N} $$ N = 4 SYM theory at strong coupling, including operators with non-zero R -charge and odd spin. We successfully check our results by comparing to data available from integrability, localisation and consistency with a 10 d effective action.
在$$ \mathcal{N} $$ N = 4 SYM理论中,我们确定了ad5 ×S 5上两个超重力态和两个Kaluza-Klein模的弦幅的第一曲率修正,它是对半bps算子的相关子$$ \left\langle {\mathcal{O}}_2{\mathcal{O}}_2{\mathcal{O}}_p{\mathcal{O}}_p\right\rangle $$ O 2 O 2 O p O p的对偶。结果具有在黎曼球上对通常的Virasoro-Shapiro振幅进行积分的形式,并插入权值为3的单值多个多对数。结果将$$ \mathcal{N} $$ N = 4 SYM理论中单迹算符的OPE数据固定在强耦合下,包括非零R电荷和奇自旋的算符。通过与10 d有效行动的可积性、本地化和一致性数据进行比较,我们成功地检查了我们的结果。
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