Wedge Holography in Flat Space and Celestial Holography

Abstract

In this paper, we study codimension two holography in flat spacetimes, based on the idea of the wedge holography. We propose that a region in a $d+1$ dimensional flat spacetime surrounded by two end of the world-branes, which are given by $d$ dimensional hyperbolic spaces, is dual to a conformal field theory (CFT) on a $d-1$ dimensional sphere. Similarly, we also propose that a $d+1$ dimensional region in the flat spacetime bounded by two $d$ dimensional de Sitter spaces is holographically dual to a CFT on a $d-1$ dimensional sphere. Our calculations of the partition function, holographic entanglement entropy and two point functions, support these duality relations and imply that such CFTs are non-unitary. Finally, we glue these two dualities along null surfaces to realize a codimension two holography for a full Minkowski spacetime and discuss a possible connection to the celestial holography.

42 pages, 12 figures

References in corpus (9)

• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Flat Holography: Aspects of the dual field theory
• Gluon Amplitudes as 2d Conformal Correlators
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• A Holographic Framework for Eternal Inflation
• Holography and Entanglement in Flat Spacetime
• de Sitter extremal surfaces
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• Comments on Entanglement Entropy in the dS/CFT Correspondence

Cited by in corpus (15)

• Bridging Carrollian and Celestial Holography
• AdS/BCFT with Brane-Localized Scalar Field
• Entanglement, Soft Modes, and Celestial Holography
• Multiverse in Karch-Randall Braneworld
• Hyperbolic times in Minkowski space
• Weyl-Ambient Geometries
• JT gravity from holographic reduction of 3D asymptotically flat spacetime
• Probing de Sitter Space Using CFT States
• Casimir Effect and Holographic Dual of Wedges
• Bulk Reconstruction of Scalar Excitations in Flat${}_3$/CCFT${}_2$ and the Flat Limit from (A)dS${}_3$/CFT${}_2$
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Cone Holography with Neumann Boundary Conditions and Brane-localized Gauge Fields
• Entanglement Rényi entropies in celestial holography
• Celestial Quantum Error Correction I: Qubits from Noncommutative Klein Space
• Entangled universes