AdS Virasoro-Shapiro from single-valued periods

Abstract

We determine the full $1/\sqrt{\lambda }$ correction to the flat-space Wilson coefficients which enter the AdS Virasoro-Shapiro amplitude in $\mathcal{N}=4$ SYM theory at strong coupling. The assumption that the Wilson coefficients are in the ring of single-valued multiple zeta values, as expected for closed string amplitudes, is surprisingly powerful and leads to a unique solution to the dispersive sum rules relating Wilson coefficients and OPE data obtained in [1]. The corresponding OPE data fully agrees with and extends the results from integrability. The Wilson coefficients to order $1/\sqrt{\lambda }$ can be summed into an expression whose structure of poles and residues generalises that of the Virasoro-Shapiro amplitude in flat space.

37 pages, 1 figure, v2: JHEP version, v3: minor correction

References in corpus (4)

• Writing CFT correlation functions as AdS scattering amplitudes
• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• AdS Virasoro-Shapiro from dispersive sum rules
• On the unitarity and low energy expansion of the Coon amplitude

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