A holographic reduction of Minkowski space-time

Abstract

Minkowski space can be sliced, outside the lightcone, in terms of Euclidean Anti-de Sitter and Lorentzian de Sitter slices. In this paper we investigate what happens when we apply holography to each slice separately. This yields a dual description living on two spheres, which can be interpreted as the boundary of the light cone. The infinite number of slices gives rise to a continuum family of operators on the two spheres for each separate bulk field. For a free field we explain how the Green's function and (trivial) S-matrix in Minkowski space can be reconstructed in terms of two-point functions of some putative conformal field theory on the two spheres. Based on this we propose a Minkowski/CFT correspondence which can also be applied to interacting fields. We comment on the interpretation of the conformal symmetry of the CFT, and on generalizations to curved space.

47 pages, latex, 2 figures; v2: discussion of translations added, final version to appear in Nucl.Phys. B

Cited by in corpus (158)

• Soft Hair on Black Holes
• Aspects of the BMS/CFT correspondence
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• Superrotation Charge and Supertranslation Hair on Black Holes
• A Conformal Basis for Flat Space Amplitudes
• The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
• Lectures on Celestial Amplitudes
• Carrollian Perspective on Celestial Holography
• Gluon Amplitudes as 2d Conformal Correlators
• A 2D Stress Tensor for 4D Gravity
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Superboost transitions, refraction memory and super-Lorentz charge algebra
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Scattering Amplitudes: Celestial and Carrollian
• Holographic Renormalization of Asymptotically Flat Spacetimes
• Bridging Carrollian and Celestial Holography
• Conformally Soft Theorem in Gauge Theory
• Celestial amplitudes and conformal soft theorems
• Entanglement Entropy in Flat Holography
• The $\Lambda$-BMS${}_4$ Charge Algebra
• Asymptotic Symmetries and Celestial CFT
• The Holographic Nature of Null Infinity
• Celestial Amplitudes from UV to IR
• Holographic renormalization as a canonical transformation
• Tree-level gluon amplitudes on the celestial sphere
• Strings on Celestial Sphere
• The Poincaré and BMS flux-balance laws with application to binary systems
• Computation of Displacement and Spin Gravitational Memory in Numerical Relativity
• Rigorous steps towards holography in asymptotically flat spacetimes
• Extended BMS Algebra of Celestial CFT
• Can scalars have asymptotic symmetries?
• Loop-Corrected Virasoro Symmetry of 4D Quantum Gravity
• BMS Symmetry of Celestial OPE
• Conformal Basis, Optical Theorem, and the Bulk Point Singularity
• $(2,2)$ Scattering and the Celestial Torus
• Adding Gravitational Memory to Waveform Catalogs using BMS Balance Laws
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Holography and Entanglement in Flat Spacetime
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Conformal Carroll Scalars with Boosts
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Holography in asymptotically flat space-times and the BMS group
• Shifting Spin on the Celestial Sphere
• Dynamics of Carroll Strings
• Superrotations and Black Hole Pair Creation
• BMS Flux Algebra in Celestial Holography
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• BMS invariance and the membrane paradigm
• A $d$-Dimensional Stress Tensor for Mink${}_{d+2}$ Gravity
• Note on counterterms in asymptotically flat spacetimes
• Asymptotic charges from soft scalars in even dimensions
• Holographic entanglement entropy probes (non)locality
• Loops on the Celestial Sphere
• Asymptotic Flatness, Little String Theory, and Holography
• Black Holes: Eliminating Information or Illuminating New Physics?
• Universal Corner Symmetry and the Orbit Method for Gravity
• Conformal properties of soft-operators - 1 : Use of null-states
• Geometric actions and flat space holography
• Celestial holography on Kerr-Schild backgrounds
• Multipole Expansion of Gravitational Waves: from Harmonic to Bondi coordinates
• Soft photon theorems from CFT Ward identites in the flat limit of AdS/CFT
• Symmetries of free massless particles and soft theorems
• A Review of Gravitational Memory and BMS Frame Fixing in Numerical Relativity
• On loop celestial amplitudes for gauge theory and gravity
• Confined dynamical systems with Carroll or Galilei symmetries
• Conformal Primary Basis for Dirac Spinors
• A Holographic Dual of CFT with Flavor on de Sitter Space
• Relativistic partial waves for celestial amplitudes
• Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
• From Celestial Correlators to AdS, and back
• The Symmetries of the Carroll Superparticle
• Massive Celestial Fermions
• Asymptotically flat spacetimes with BMS${}_3$ symmetry
• On Sugawara construction on Celestial Sphere
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
• General null asymptotics and superrotation-compatible configuration spaces in $d\ge 4$
• Celestial superamplitude in $\mathcal{N}=4$ SYM theory
• Detecting the gravitational wave memory effect with TianQin
• Wedge Holography in Flat Space and Celestial Holography
• On Asymptotic Flatness and Lorentz Charges
• Quantum Corrections to Supergravity on AdS${}_2\times S^2$
• Worldsheet Formalism for Decoupling Limits in String Theory
• BMS field theory and holography in asymptotically flat space-times
• Celestial Leaf Amplitudes
• Implications of Superrotations
• 2d Galilean Field Theories with Anisotropic Scaling
• Conformally Soft Fermions
• Canonical Realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry
• Notes on Resonances and Unitarity from Celestial Amplitudes
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks
• An embedding formalism for CFTs in general states on curved backgrounds
• Celestial amplitudes in an ambidextrous basis
• Celestial Recursion
• Logarithmic Celestial Conformal Field Theory
• Testing Holographic Principle from Logarithmic and Higher Order Corrections to Black Hole Entropy
• Entanglement, Soft Modes, and Celestial Holography
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• Celestial Geometry
• Poincaré Constraints on Celestial Amplitudes
• Black Hole and de Sitter Microstructures from a Semiclassical Perspective
• Open/closed string duality and relativistic fluids
• Chaos in Celestial CFT
• Asymptotic symmetries and charges at spatial infinity in general relativity
• Hyperbolic times in Minkowski space
• Flat-Space Holography and Stress Tensor of Kerr Black Hole
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Cosmic footballs from superrotations
• A Celestial Matrix Model
• JT gravity from holographic reduction of 3D asymptotically flat spacetime
• BMS Field Theories and Weyl Anomaly
• Asymptotic Symmetries, Holography and Topological Hair
• Enhanced asymptotic $BM{S}_3$ algebra of the flat spacetime solutions of generalized minimal massive gravity
• Canonical Realization of BMS Symmetry. Quadratic Casimir
• Integrable Field Theories and Their CCFT Duals
• Asymptotic symmetries in spatially flat FRW
• Holographic Reconstruction and Renormalization in Asymptotically Ricci-flat Spacetimes
• Multi-Soft gluon limits and extended current algebras at null-infinity
• Celestial amplitude for 2d theory
• de Sitter Harmonies: Cosmological Spacetimes as Resonances
• Foliation-based quantization and black hole information
• Supertranslations and Holographic Stress Tensor
• On the representation theory of the Bondi-Metzner-Sachs group and its variants in three space-time dimensions
• Probing de Sitter Space Using CFT States
• $p$-Forms on the Celestial Sphere
• Zwanziger's pairwise little group on the celestial sphere
• ${\varphi }^4$-Model and Holography in Four Dimensions
• Spectral representation in Klein space: simplifying celestial leaf amplitudes
• Fundamental Physics and Cosmology with TianQin
• Massive Spinors and dS/CFT Correspondence
• Irrelevant and marginal deformed BMS field theories
• Radiation in Fluid/Gravity and the Flat Limit
• Correspondence principle for a brane in Minkowski space and vector mesons
• Celestial IR divergences and the effective action of supertranslation modes
• Conformal Wave Expansions for Flat Space Amplitudes
• BRST BMS4 Symmetry and its Cocycles from Horizontality Conditions
• Kaluza-Klein reductions and AdS/Ricci-flat correspondence
• Carroll Limit of Non-BPS Dp-Brane
• dS/CFT Correspondence from a Holographic Description of Massless Scalar Fields in Minkowski Space-Time
• AdS Asymptotic Symmetries from CFT Mirrors
• Holographic Entanglement Entropy in flat limit of the Generalized Minimal Massive Gravity model
• Loop corrections versus marginal deformation in celestial holography
• Mapping AdS to dS spaces and back
• Entanglement Rényi entropies in celestial holography
• Holographic phenomenology via overlapping degrees of freedom
• Quantum field theory in flat spacetime with multiple time directions
• Modeling the BMS transformation induced by a binary black hole merger
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams
• Flat Holography & Holographic Renormalization: Scalar Field
• A Note on the Analytic Structure of Celestial Amplitudes
• Scalar subleading soft theorems from an infinite tower of charges
• $sl(2,\mathds{C})\times D$ symmetry and conformal primary basis for massless fields