The AdS Veneziano amplitude at small curvature

Abstract

We compute the AdS Veneziano amplitude for type IIB gluon scattering in $Ad{S}_5\times S^3$ to all orders in ${\alpha }^{\prime }$ in a small curvature expansion. This is achieved by combining a dispersion relation in the dual $4d$ $\mathcal{N}=2$ SCFT with an ansatz for the amplitude as a worldsheet integral in terms of multiple polylogarithms. The first curvature correction is fully fixed in this way and satisfies consistency checks in the high energy limit, the low energy expansion as previously fixed using supersymmetric localisation, and for the energy of massive string operators, which we independently compute using a semiclassical expansion. We also combine localisation with this first curvature correction to fix the unprotected $D^4{F}^4$ correction to the amplitude at finite curvature.

arXiv comment45 pages, 7 figures, v2: JHEP version

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• The Kaluza-Klein AdS Virasoro-Shapiro Amplitude near Flat Space
• 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
• Higher-Spin and Higher-Point Constraints on Stringy Amplitudes
• Twisted de Rham theory for string double copy in AdS