# Loop Corrections to Supergravity on $AdS_5 \times S^5$

## TL;DR

This paper computes loop corrections to supergravity on $AdS_5 imes S^5$ by analyzing four-point correlators in ${
m extbf{N}=4}$ SYM, revealing constraints from crossing symmetry and determining the spectrum of operators at order $1/N^4$.

## Contribution

It provides the first complete determination of loop corrections to supergravity correlators in $AdS_5 imes S^5$ using crossing symmetry constraints.

## Key findings

- Determined the spectrum of leading twist operators at order $1/N^4$.
- Established the form of loop corrections consistent with crossing symmetry.
- Enhanced understanding of holographic correlators beyond the planar limit.

## Abstract

We consider the four-point correlator of the stress-energy tensor multiplet in ${\cal N}=4$ SYM. In the planar limit and at large 't Hooft coupling such correlator is given by the corresponding holographic correlation function in IIB supergravity on $AdS_5 \times S^5$. We consider subleading corrections in the number of colours, 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.