Physics

Scattering amplitude

Pure mathematics

Mathematics

Mathematical physics

Astronomy

Mathematical analysis

Celestial sphere

Conformal symmetry

Amplitude

Geometry

Theoretical physics

Quantum mechanics

Homogeneous space

Conformal map

Infinity

Classical mechanics

Minkowski space

Physics Letters B

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 Poincaré and conformal groups in the celestial representation and discuss how these symmetries are manifest in the amplitudes.

Symmetries of celestial amplitudes