General relativity as a two-dimensional CFT

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Abstract

The tree-level scattering amplitudes of general relativity (GR) encode the full nonlinearity of the Einstein field equations. Yet remarkably compact expressions for these amplitudes have been found which seem unrelated to a perturbative expansion of the Einstein–Hilbert action. This suggests an entirely different description of GR which makes this on-shell simplicity manifest. Taking our cue from the tree-level amplitudes, we discuss how such a description can be found. The result is a formulation of GR in terms of a solvable two-dimensional conformal field theory (CFT), with the Einstein equations emerging as quantum consistency conditions.
Original languageEnglish
Article number1544024
Number of pages6
JournalInternational Journal of Modern Physics D
Volume24
Issue number12
DOIs
Publication statusPublished - 6 Nov 2015

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