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AdS Virasoro-Shapiro amplitude with KK modes
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Uppsala Univ, Dept Phys & Astron, Box 516, SE-75120 Uppsala, Sweden..ORCID iD: 0000-0002-1799-8124
Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England..
Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England..
2023 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 11, article id 64Article in journal (Refereed) Published
Abstract [en]

We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on AdS5xS5, which is dual to the correlator O2O2OpOp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \left\langle {\mathcal{O}}_2{\mathcal{O}}_2{\mathcal{O}}_p{\mathcal{O}}_p\right\rangle $$\end{document} of half-BPS operators in N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 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 N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 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 10d effective action.

Place, publisher, year, edition, pages
SPRINGER , 2023. no 11, article id 64
Keywords [en]
AdS-CFT Correspondence, Conformal and W Symmetry, Supersymmetric Gauge Theory
National Category
Subatomic Physics Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-541018DOI: 10.1007/JHEP11(2023)064ISI: 001272462700001OAI: oai:DiVA.org:uu-541018DiVA, id: diva2:1937025
Funder
Knut and Alice Wallenberg Foundation, KAW 2016.0129Swedish Research Council, 2018-04438EU, European Research Council, 787185Available from: 2025-02-12 Created: 2025-02-12 Last updated: 2025-02-14Bibliographically approved

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