The AdS Virasoro-Shapiro Amplitude

Abstract

We present a constructive method to compute the AdS Virasoro-Shapiro amplitude, order by order in AdS curvature corrections. At kth order the answer takes the form of a genus zero world-sheet integral involving weight 3k single-valued multiple polylogarithms. The coefficients in our ansatz are fixed, order by order, by requiring: crossing symmetry; the correct supergravity limit; the correct structure of poles, determined by dispersive sum rules; and the dimensions of the first few Konishi-like operators, available from integrability. We explicitly construct the first two curvature corrections. Our final answer then reproduces all localisation results and all CFT data available from integrability, to this order, and produces a wealth of new CFT data for planar N=4 SYM at strong coupling.

24 pages, 1 figure, v2: JHEP version

References in corpus (2)

• New Relations for Gauge-Theory Amplitudes
• Writing CFT correlation functions as AdS scattering amplitudes

Cited by in corpus (16)

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• Higher-Point Correlators in N=4 SYM: Generating Functions
• Bootstrap AdS Veneziano Amplitude with Arbitrary Kaluza-Klein Modes
• Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude
• High-Energy Fixed-Angle Meson Scattering and the Constituent Counting Rule in Holographic QCD
• Exploring the twisted sector of ${\mathbb{Z}}_L$ orbifolds: Matching ${\alpha }^{\prime }$-corrections to localisation
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$
• Higher-Spin and Higher-Point Constraints on Stringy Amplitudes
• A construction of single-valued elliptic polylogarithms
• Twisted de Rham theory for string double copy in AdS
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons