Journal of High Energy Physics
Conformal field theory, Scattering amplitudes
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.
This material is based in part upon work supported by the National Science Foundation under Grant Number PHY-1913328. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
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© The Author(s) 2019
Fotopoulos, A.; and Taylor, T. R. (2019). Primary Fields in Celestial CFT. Journal of High Energy Physics 2019: 167. https://doi.org/10.1007/JHEP10(2019)167