# Holographic 4-point correlators with heavy states

## TL;DR

This paper develops a new supergravity-based method to compute 4-point correlators involving heavy operators in AdS/CFT, providing explicit results in the AdS3/CFT2 context that differ from previous CFT calculations.

## Contribution

It introduces a novel approach to derive heavy-light 4-point correlators in AdS/CFT by analyzing quadratic fluctuations around heavy backgrounds, bypassing traditional diagrammatic complexities.

## Key findings

- Derived explicit heavy-light 4-point correlators in AdS3/CFT2.
- Found discrepancies between supergravity and orbifold CFT results.
- Provided a practical method applicable to large conformal dimension operators.

## Abstract

The AdS/CFT duality maps supersymmetric heavy operators with conformal dimension of the order of the central charge to asymptotically AdS supergravity solutions. We show that by studying the quadratic fluctuations around such backgrounds it is possible to derive the 4-point correlators of two light and two heavy states in the supergravity approximation. We provide an explicit example in the AdS$_3$ setup relevant for the duality with the D1-D5 CFT. Contrary to previously studied examples, the supergravity correlator derived in this work differs from the result obtained at the CFT orbifold point. Our method bypasses the difficulties of applying the standard Witten's diagrams approach to correlators with operators of large conformal dimension and also avoids some technical steps that have made the computation of dynamical 4-point correlators in the AdS$_3$/CFT$_2$ context unfeasible until now.