Uplifting AdS3/CFT2 to Flat Space Holography

Abstract

Four-dimensional (4D) flat Minkowski space admits a foliation by hyperbolic slices. Euclidean AdS3 slices fill the past and future lightcones of the origin, while dS3 slices fill the region outside the lightcone. The resulting link between 4D asymptotically flat quantum gravity and AdS3/CFT2 is explored in this paper. The 4D superrotations in the extended BMS4 group are found to act as the familiar conformal transformations on the 3D hyperbolic slices, mapping each slice to itself. The associated 4D superrotation charge is constructed in the covariant phase space formalism. The soft part gives the 2D stress tensor, which acts on the celestial sphere at the boundary of the hyperbolic slices, and is shown to be an uplift to 4D of the familiar 3D holographic AdS3 stress tensor. Finally, we find that 4D quantum gravity contains an unexpected second, conformally soft, dimension (2, 0) mode that is symplectically paired with the celestial stress tensor.

16 pages

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• Geometric actions and flat space holography
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• Weyl Charges in Asymptotically Locally AdS${}_3$ Spacetimes
• On loop celestial amplitudes for gauge theory and gravity
• Gauges in Three-Dimensional Gravity and Holographic Fluids
• Conformal properties of soft operators -- 2 : Use of null-states
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• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
• Wedge Holography in Flat Space and Celestial Holography
• One-Loop Quantum Effects in Carroll Scalars
• Massive Spinning Bosons on the Celestial Sphere
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• 2d Galilean Field Theories with Anisotropic Scaling
• Conformally Soft Fermions
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• Gravitation in flat spacetime from entanglement
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• Celestial Geometry
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• Chaos in Celestial CFT
• Cosmic footballs from superrotations
• Asymptotic symmetries in spatially flat FRW
• BMS Modular Diaries: Torus one-point function
• Probing de Sitter Space Using CFT States
• Celestial IR divergences and the effective action of supertranslation modes
• Warped Flatland
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• Asymptotic conformal symmetry at spatial infinity
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• Notes on self-dual gravity
• Quantum field theory in flat spacetime with multiple time directions
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