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We study the four point function of the superconformal primary of thestress-tensor multiplet in four dimensional $\mathcal{N}=4$ Super Yang Mills,at large 't Hooft coupling and in a large $N$ expansion. This observable isholographically dual to four graviton amplitudes in type IIB supergravity on$AdS_5 \times S^5$. We construct the most trascendental piece of the correlatorat order $N^{-6}$ and compare it with the flat space limit of the correspondingtwo loops amplitude. This comparison allows us to conjecture structures of thecorrelator/amplitude which should be present at any loop order.

Towards All Loop Supergravity Amplitudes on $AdS_5 \times S^5$