  The basic ingredient of CCFT holography is to regard four-dimensional
amplitudes describing conformal wave packets as two-dimensional conformal
correlation functions of the operators associated to external particles. By
construction, these operators transform as quasi-primary fields under SL(2,C)
conformal symmetry group of the celestial sphere. We derive the OPE of the CCFT
energy-momentum tensor with the operators representing gauge bosons and show
that they transform as Virasoro primaries under diffeomorphisms of the
celestial sphere.
