Towards all loop supergravity amplitudes on AdS5×S5

Abstract

We study the four-point function of the superconformal primary of the stress-Tensor multiplet in four-dimensional N=4 super Yang-Mills theory, at strong coupling and in a large-N expansion. This observable is holographically dual to a four-graviton amplitude in type IIB supergravity on AdS5×S5. We construct the maximal transcendental weight piece of the correlator at order N-6 and compare it with the flat-space limit of the corresponding two-loop amplitude. This allows us to conjecture structures of the correlator/amplitude which should be present at any loop order.