AdS_{3}×S^{3} Virasoro-Shapiro Amplitude with Ramond-Ramond Flux

We compute the anti-de Sitter Virasoro-Shapiro amplitude for scattering of dilatons in type IIB string theory with pure Ramond-Ramond flux on AdS_{3}×S^{3}×M_{4} for M_{4}=T^{4} or K3, to all orders in α^{'} in a small anti-de Sitter curvature expansion. This is achieved by comparing the flat space limit of the dual D1D5 conformal field theory correlator to an ansatz for the amplitude as a world-sheet integral in terms of single valued multiple polylogarithms. The first curvature correction is fully fixed in this way, and satisfies consistency checks in the high energy limit, and by comparison of the energy of massive string operators to a semiclassical expansion. Our result gives infinite predictions for conformal field theory data in the planar limit at strong coupling, which can guide future integrability studies.