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.
引用
收藏
相关论文
共 16 条
[1]  
Stieberger S., Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator, J. Phys. A, 47, (2014)
[2]  
Brown F., Single-valued motivic periods and multiple zeta values, SIGMA, 2, (2014)
[3]  
Brown F., Dupont C., Single-valued integration and superstring amplitudes in genus zero, Commun. Math. Phys, 382, (2021)
[4]  
Schlotterer O., Schnetz O., Closed strings as single-valued open strings: A genus-zero derivation, J. Phys. A, 52, (2019)
[5]  
Vanhove P., Zerbini F., Single-valued hyperlogarithms, correlation functions and closed string amplitudes, Adv. Theor. Math. Phys, 26, (2022)
[6]  
Brown F., Dupont C., Single-valued integration and double copy, J. Reine Angew. Math, 2021, (2021)
[7]  
Alday L. F., Hansen T., Silva J. A., AdS Virasoro-Shapiro from dispersive sum rules, J. High Energy Phys, 2022, 10
[8]  
Alday L. F., Hansen T., Silva J. A., AdS Virasoro-Shapiro from single-valued periods, J. High Energy Phys, 2022, 12
[9]  
Brown F. C. S., Polylogarithmes multiples uniformes en une variable, C. R. Math, 338, (2004)
[10]  
Schnetz O., HyperlogProcedures