# Quantum Gravity from Conformal Field Theory

## TL;DR

This paper uses conformal bootstrap techniques to compute one-loop corrections in AdS supergravity, connecting them with operator spectra in super Yang-Mills theory, and providing new insights into quantum gravity amplitudes.

## Contribution

It introduces a bootstrap approach to determine loop corrections in AdS supergravity from CFT data, revealing new spectral and amplitude information.

## Key findings

- Predicted one-loop four-graviton amplitude in AdS
- Derived subleading $O(1/N^4)$ corrections to double-trace anomalous dimensions
- Enhanced understanding of quantum corrections in AdS/CFT correspondence

## Abstract

We bootstrap loop corrections to AdS${}_5$ supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of $\mathcal{N}=4$ super Yang-Mills theory. In particular this yields much new information on the spectrum of double-trace operators which can then be used, in combination with superconformal symmetry and crossing symmetry, to obtain a prediction for the one-loop amplitude for four graviton multiplets in AdS. This in turn yields further new results on subleading $O(1/N^4)$ corrections to certain double-trace anomalous dimensions.