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S. Banerjee, P. Pandey and P. Paul, “Conformal properties of soft-operators - 1 : Use of null-states,” arXiv:1902.02309 [hep-th]
Original
1902
Earlier work this paper cites.
W. Fan, A. Fotopoulos and T. R. Taylor, “Soft Limits of Yang-Mills Amplitudes and Conformal Correlators,” JHEP 1905
Original
1903
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M. Pate, A. M. Raclariu and A. Strominger, “Conformally Soft Theorem in Gauge Theory,” arXiv:1904.10831 [hep-th]
Original
1904
Earlier work this paper cites.
D. Nandan, A. Schreiber, A. Volovich and M. Zlotnikov, “Celestial Amplitudes: Conformal Partial Waves and Soft Limits,” arXiv:1904.10940 [hep-th]
Original
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S. Pasterski, “Implications of Superrotations,” arXiv:1905.10052 [hep-th]
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T. Adamo, L. Mason and A. Sharma, “Celestial amplitudes and conformal soft theorems,” arXiv:1905.09224 [hep-th]
Original
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A. Puhm, “Conformally Soft Theorem in Gravity,” arXiv:1905.09799 [hep-th]
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Original
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A. Guevara, “Notes on Conformal Soft Theorems and Recursion Relations in Gravity,” arXiv:1906.07810 [hep-th]
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Then

T.R. Taylor, “A Course in Amplitudes,” Phys. Rept. 691
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2017
Later among the works it cites.
D. Kapec, P. Mitra, A. M. Raclariu and A. Strominger, “2D Stress Tensor for 4D Gravity,” Phys. Rev. Lett. 119
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2019

Primary Fields in Celestial CFT

Fotopoulos, Angelos, Taylor, Tomasz R.

Understand

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.