# Gluon Amplitudes as 2d Conformal Correlators

## TL;DR

This paper demonstrates that gluon scattering amplitudes can be expressed as 2D conformal correlators, revealing a new conformal structure in four-dimensional gauge theory.

## Contribution

It introduces a conformal primary basis for gluon wavefunctions and reformulates gluon amplitudes as 2D CFT correlators, connecting gauge theory with 2D conformal symmetry.

## Key findings

- Gluon amplitudes exhibit conformal covariance in the new basis.
- BCFW recursion is reformulated within the conformal primary framework.
- Explicit low-point amplitudes are computed in the conformal basis.

## Abstract

Recently, spin-one wavefunctions in four dimensions that are conformal primaries of the Lorentz group SL(2,C) were constructed. We compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary wavefunctions. The answers have the same conformal covariance as correlators of spin-one primaries in a 2d CFT. The BCFW recursion relation between three- and four-point gluon amplitudes is recast into this conformal basis.