On genus-one string amplitudes on AdS5 x S5

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)x 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.

Automated summary

This study focuses on non-planar correlators in N = 4 super-Yang-Mills in Mellin space, particularly examining the stress tensor four-point correlator in terms of 1/N-4 order and strong coupling expansion. The results show that both the loop supergravity result and stringy corrections have a remarkably simple structure in Mellin space, demonstrating important properties such as the correct flat space limit and the structure of UV divergences.