JT gravity from holographic reduction of 3D asymptotically flat spacetime
arXiv:2211.13415 · doi:10.1007/JHEP01(2023)138
Abstract
We attempt to understand the CFT structure underlying (2+1)D gravity in flat spacetime via dimensional reduction. We observe that under superrotation, the hyperbolic (and dS) slices of flat spacetime transform to asymptotically (A)dS slices. We consider a wedge region bounded by two such surfaces as End-of-the-World branes and employ Wedge holography to perform holographic reduction. We show that once we consider fluctuating branes, the localised theory on the branes is Jackiw-Teitelboim (JT) theory. Finally, using the dual description of JT, we derive an 1D Schwarzian theory at the spatial slice of null infinity. In this dual Celestial (nearly) CFT, the superrotation mode of 3D plays the role of the Schwarzian derivative of the boundary time reparametrization mode.
arXiv commentReferences added, minor corrections
References in corpus (36)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The dS/CFT Correspondence
- On BMS Invariance of Gravitational Scattering
- Locally Localized Gravity
- Aspects of the BMS/CFT correspondence
- Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
- Anti-de Sitter Fragmentation
- Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
- Asymptotic symmetries and subleading soft graviton theorem
- Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
- A Conformal Basis for Flat Space Amplitudes
- Solving the Schwarzian via the Conformal Bootstrap
- A holographic reduction of Minkowski space-time
- Information Transfer with a Gravitating Bath
- New symmetries for the Gravitational S-matrix
- A 2D Stress Tensor for 4D Gravity
- 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
- A Boundary Term for the Gravitational Action with Null Boundaries
- Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory
- Codimension two holography for wedges
- The Schwarzian Theory - Origins
- Holographic BCFTs and Communicating Black Holes
- Low-dimensional de Sitter quantum gravity
- The Holographic Nature of Null Infinity
- Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity
- Menagerie of AdS boundary conditions
- One-loop partition function of three-dimensional flat gravity
- Super-BMS algebras from flat supergravities
- Jackiw-Teitelboim Gravity from the Karch-Randall Braneworld
- An Exact Construction of Codimension two Holography
- Asymptotic structure of supergravity in 3D: extended super-BMS and nonlinear energy bounds
- Aspects of AdS Quantum Gravity and the Karch-Randall Braneworld
- Wedge Holography in Flat Space and Celestial Holography
- New N=2 SuperBMS algebra and Invariant Dual Theory for 3D Supergravity
- Dual Theory for maximally extended flat Supergravity