AdS Virasoro-Shapiro from single-valued periods

TL;DR

This paper computes the first correction to Wilson coefficients in the AdS Virasoro-Shapiro amplitude for $ =4$ SYM at strong coupling, using single-valued multiple zeta values, confirming and extending integrability results.

Contribution

It introduces a novel approach using single-valued multiple zeta values to determine Wilson coefficients at strong coupling, providing a unique solution consistent with integrability.

Findings

Full $1/\sqrt{\lambda}$ correction determined

Wilson coefficients expressed as a sum with generalized poles

Results extend and confirm integrability-based data

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.