Emergent Worldsheet for the AdS Virasoro-Shapiro Amplitude

被引:23
作者
Alday L.F. [1 ]
Hansen T. [1 ]
Silva J.A. [1 ]
机构
[1] Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford
基金
欧盟地平线“2020”; 英国科学技术设施理事会; 欧洲研究理事会;
关键词
D O I
10.1103/PhysRevLett.131.161603
中图分类号
O56 [分子物理学、原子物理学];
学科分类号
070203 ; 1406 ;
摘要
We construct a representation for the first anti-de Sitter curvature correction to the Virasoro-Shapiro amplitude, as an integral over the Riemann sphere. The integrand is that of the Virasoro-Shapiro amplitude in flat space, with the extra insertion of a linear combination of single-valued multiple polylogarithms of weight three. The integral representation implies an elegant, manifestly single-valued representation for the Wilson coefficients of the low-energy expansion. © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.
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共 16 条
[11]  
Schnetz O., Graphical functions and single-valued multiple polylogarithms, Commun. Num. Theor. Phys, (2014)
[12]  
Schlotterer O., Stieberger S., Motivic multiple zeta values and superstring amplitudes, J. Phys. A, 46, (2013)
[13]  
Vanhove P., Zerbini F., Building blocks of closed and open string amplitudes, Proc. Sci, 2022, MA2019
[14]  
Berkovits N., Half-BPS vertex operators of the (Equation presented) superstring, J. High Energy Phys, 2019
[15]  
Fleury T., Martins L. N. S., (Equation presented) supergravity vertex operators, J. High Energy Phys, 2021
[16]  
Dixon L. J., Duhr C., Pennington J., Single-valued harmonic polylogarithms and the multi-Regge limit, J. High Energy Phys, 2012, 10