M-theory Beyond The Supergravity Approximation

We analyze the four-point function of stress-tensor multiplets for the 6d quantum field theory with $OSp(8^{\ast }\mathrm{\mid }4)$ symmetry which is conjectured to be dual to M-theory on $Ad{S}_7\times S^4$, and deduce the leading correction to the tree-level supergravity prediction by obtaining a solution of the crossing equations in the large-$N$ limit with the superconformal partial wave expansion truncated to operators with zero spin. This correction corresponds to the M-theoretic analogue of ${\mathcal{R}}^4$ corrections in string theory. We also find solutions corresponding to higher-spin truncations, but they are subleading compared to the 1-loop supergravity prediction, which has yet to be calculated.