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The AdS$_3\times $S$^3$ Virasoro-Shapiro amplitude with RR flux

The AdS$_3\times $S$^3$ Virasoro-Shapiro amplitude with RR flux

We compute the AdS Virasoro-Shapiro amplitude for scattering of dilatons in type IIB string theory with pure RR flux on $AdS_3\times S^3\times M_4$ for $M_4=T^4$ or $K3$, to all orders in $\alpha'$ in a small AdS curvature expansion. This is achieved by comparing the flat space limit of the dual …