# Holographic bulk reconstruction beyond (super)gravity

## TL;DR

This paper proposes a method to reconstruct higher curvature corrections in AdS quantum gravity from the boundary CFT data, specifically focusing on $ ext{α'}$ corrections and their relation to the 't Hooft coupling expansion.

## Contribution

It introduces a holographic recipe to derive $ ext{α'}$ corrections to AdS gravity from CFT data, linking conformal dimensions to higher curvature bulk actions, including Lovelock terms.

## Key findings

- Reconstructed the coefficient of the Gauss-Bonnet term in AdS gravity.
- Mapped the $ ext{λ}^{-1}$ expansion of conformal dimensions to higher curvature corrections.
- Demonstrated the approach using stress-tensor two-point functions.

## Abstract

We outline a holographic recipe to reconstruct $\alpha'$ corrections to AdS (quantum) gravity from an underlying CFT in the strictly planar limit ($N\rightarrow\infty$). Assuming that the boundary CFT can be solved in principle to all orders of the 't Hooft coupling $\lambda$, for scalar primary operators, the $\lambda^{-1}$ expansion of the conformal dimensions can be mapped to higher curvature corrections of the dual bulk scalar field action. Furthermore, for the metric pertubations in the bulk, the AdS/CFT operator-field isomorphism forces these corrections to be of the Lovelock type. We demonstrate this by reconstructing the coefficient of the leading Lovelock correction, aka the Gauss-Bonnet term in a bulk AdS gravity action using the expression of stress-tensor two-point function up to sub-leading order in $\lambda^{-1}$.