Abstract
We elaborate on the proposal of flat holography in which four-dimensional physics is encoded in two-dimensional celestial conformal field theory (CCFT). The symmetry underlying CCFT is the extended BMS symmetry of (asymptotically) flat space time. We use soft and collinear theorems of Einstein-Yang-Mills theory to derive the OPEs of BMS field operators generating superrotations and supertranslations. The energy momentum tensor, given by a shadow transform of a soft graviton operator, implements superrotations in the Virasoro subalgebra of 𝔟𝔪𝔰4. Supertranslations can be obtained from a single translation generator along the light-cone direction by commuting it with the energy-momentum tensor. This operator also originates from a soft graviton and generates a flow of conformal dimensions. All supertranslations can be assembled into a single primary conformal field operator on celestial sphere.
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ArXiv ePrint: 1912.10973
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Fotopoulos, A., Stieberger, S., Taylor, T.R. et al. Extended BMS algebra of celestial CFT. J. High Energ. Phys. 2020, 130 (2020). https://doi.org/10.1007/JHEP03(2020)130
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DOI: https://doi.org/10.1007/JHEP03(2020)130