Towards all loop supergravity amplitudes on AdS5 x S5

We study the four-point function of the superconformal primary of the stress-tensor multiplet in fourdimensional 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 AdS(5) x S-5 . 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.

Automated summary

We investigated the four-point function of the stress-tensor multiplet in four-dimensional N = 4 super Yang-Mills theory at strong coupling and in a large-N expansion. By constructing the maximal transcendental weight piece of the correlator at order N-6, we were able to compare it with the flat-space limit of the corresponding two-loop amplitude, allowing us to conjecture structures of the correlator/amplitude that should be present at any loop order.