# Symmetries of Celestial Amplitudes

## TL;DR

This paper explores the symmetry structures of celestial amplitudes, revealing how Poincare and conformal symmetries are represented and manifest in these holographic correlators on the celestial sphere.

## Contribution

It constructs explicit generators of Poincare and conformal groups in the celestial amplitude framework, clarifying their action and manifestation.

## Key findings

- Poincare and conformal symmetries are explicitly realized in celestial amplitudes.
- The paper demonstrates how these symmetries manifest in the celestial conformal correlators.
- Provides a foundation for understanding symmetries in celestial holography.

## Abstract

Celestial amplitudes provide holographic imprints of four-dimensional scattering processes in terms of conformal correlation functions on a two-dimensional sphere describing Minkowski space at null infinity. We construct the generators of Poincare and conformal groups in the celestial representation and discuss how these symmetries are manifest in the amplitudes.