# Double copy structure of CFT correlators

## TL;DR

This paper explores the double copy relationship in conformal field theory correlators, linking them to gauge and gravitational scattering amplitudes and revealing potential structures beyond flat space limits.

## Contribution

It demonstrates the double copy structure in CFT correlators and extends the concept beyond flat space by expressing 3D correlators through Feynman diagrams without energy conservation.

## Key findings

- Flat space limit of correlators relates to gauge and gravity amplitudes.
- Correlators in odd-dimensional CFTs exhibit double copy structure.
- 3D CFT correlators can be expressed via Feynman diagrams without energy conservation.

## Abstract

We consider the momentum-space 3-point correlators of currents, stress tensors and marginal scalar operators in general odd-dimensional conformal field theories. We show that the flat space limit of these correlators is spanned by gauge and gravitational scattering amplitudes in one higher dimension which are related by a double copy. Moreover, we recast three-dimensional CFT correlators in terms of tree-level Feynman diagrams without energy conservation, suggesting double copy structure beyond the flat space limit.