We consider the four-point correlator of the stress-energy tensor multiplet in $\mathcal{N}=4$ super Yang-Mills theory. In the planar limit and at large ’t Hooft coupling, such a correlator is given by the corresponding holographic correlation function in IIB supergravity on ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$. We consider subleading corrections in the number of colors, i.e., order $1/N^4$, at large ’t Hooft coupling. This corresponds to loop corrections to the supergravity result. Consistency conditions, most notably, crossing symmetry, constrain the form of such corrections and lead to a complete determination of the spectrum of leading-twist intermediate operators.

• Received 22 July 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.171601