# Holographic Correlators on Integrable Superstrata

## TL;DR

This paper investigates specific four-point correlators in the D1D5 CFT and its holographic dual, using supergravity solutions called superstrata to compute these correlators perturbatively, revealing insights into the holographic correspondence.

## Contribution

It introduces a method to compute heavy-heavy-light-light correlators on integrable superstrata geometries within the holographic dual of the D1D5 CFT, extending previous approaches.

## Key findings

- Computed fermionic four-point correlators at free orbifold point.
- Calculated scalar operator correlators in supergravity limit.
- Demonstrated perturbative computation on integrable superstrata.

## Abstract

In this work, we study the $\frac{1}{8}$-BPS heavy-heavy-light-light correlators in the D1D5 CFT and its holographic dual. On the field theory side, we compute the fermionic four-point correlators at the free orbifold point. On the dual gravity side, we compute the correlators of the scalar operators in the supergravity limit of the D1D5 CFT. Following the strategy of \cite{Galliani:2017jlg}, the four-point function is converted into a two-point function in non-trivial geometries known as superstrata which are supergravity solutions preserving $1/8$ supersymmetries. We focus on a family of integrable superstrata, which allows us to compute the correlators perturbatively.