On genus-one string amplitudes on AdS5 × S5

A bstract We study non-planar correlators in N = 4 super-Yang-Mills in Mellin space. We focus in the stress tensor four-point correlator to order 1/ N 4 and in a strong coupling expansion. This can be regarded as the genus-one four-point graviton amplitude of type IIB string theory on AdS 5 × S 5 in a low energy expansion. Both the loop supergravity result as well as the tower of stringy corrections have a remarkable simple structure in Mellin space, making manifest important properties such as the correct flat space limit and the structure of UV divergences.