On the $Ad{S}_3$ Virasoro-Shapiro Amplitude

Abstract

We consider tree-level scattering amplitudes for four string tachyons on $Ad{S}_3\times \mathcal{N}$ with pure NSNS fluxes. We show that in a small curvature expansion, properly defined, the amplitudes take the form of a genus zero integral given by the Virasoro-Shapiro integrand with the extra insertion of single valued multiple polylogarithms. This is the same structure as the one found for the AdS Virasoro-Shapiro amplitude in higher dimensions.

22 pages