Bridging Carrollian and Celestial Holography

Abstract

Gravity in $4d$ asymptotically flat spacetime constitutes the archetypal example of a gravitational system with leaky boundary conditions. Pursuing our analysis of [1], we argue that the holographic description of such a system requires the coupling of the dual theory living at null infinity to some external sources encoding the radiation reaching the conformal boundary and responsible for the non-conservation of the charges. In particular, we show that the sourced Ward identities of a conformal Carrollian field theory living at null infinity reproduce the BMS flux-balance laws. We also derive the general form of low-point correlation functions for conformal Carrollian field theories and exhibit a new branch of solutions, which is argued to be the relevant one for holographic purposes. We then relate our Carrollian approach to the celestial holography proposal by mapping the Carrollian Ward identities to those constraining celestial operators through a suitable integral transform.

77 pages, 4 figures. Published version in Phys. Rev. D (Editors' Suggestion)

References in corpus (161)

• Large N Field Theories, String Theory and Gravity
• A Stress Tensor for Anti-de Sitter Gravity
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Generalized Global Symmetries
• On BMS Invariance of Gravitational Scattering
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• Aspects of the BMS/CFT correspondence
• BMS supertranslations and Weinberg's soft graviton theorem
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• Writing CFT correlation functions as AdS scattering amplitudes
• BMS charge algebra
• New Symmetries of Massless QED
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• A Conformal Basis for Flat Space Amplitudes
• Conformal Carroll groups and BMS symmetry
• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Setting the boundary free in AdS/CFT
• Supertranslations and Superrotations at the Black Hole Horizon
• A holographic reduction of Minkowski space-time
• Holography of 3d Flat Cosmological Horizons
• Lectures on Celestial Amplitudes
• Carrollian Perspective on Celestial Holography
• Flat Holography: Aspects of the dual field theory
• Gauging the Carroll Algebra and Ultra-Relativistic Gravity
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Gluon Amplitudes as 2d Conformal Correlators
• A 2D Stress Tensor for 4D Gravity
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Low's Subleading Soft Theorem as a Symmetry of QED
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Carrollian Physics at the Black Hole Horizon
• Entanglement entropy in Galilean conformal field theories and flat holography
• Superboost transitions, refraction memory and super-Lorentz charge algebra
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Carroll contractions of Lorentz-invariant theories
• Flat holography and Carrollian fluids
• Analyticity and the Holographic S-Matrix
• Carroll Structures, Null Geometry and Conformal Isometries
• Scattering Amplitudes: Celestial and Carrollian
• Light-Front Higher-Spin Theories in Flat Space
• Holographic Renormalization of Asymptotically Flat Spacetimes
• Conformal Carroll groups
• Conformally Soft Photons and Gravitons
• Carroll versus Galilei Gravity
• Extended Symmetries at the Black Hole Horizon
• Holography in the Flat Space Limit
• Dynamics of Carroll Particles
• Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory
• Entanglement Entropy in Flat Holography
• The $\Lambda$-BMS${}_4$ Charge Algebra
• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• Asymptotic Symmetries and Celestial CFT
• Field Theories with Conformal Carrollian Symmetry
• Flat-space scattering and bulk locality in the AdS/CFT correspondence
• On Representations and Correlation Functions of Galilean Conformal Algebras
• Symmetries and charges of general relativity at null boundaries
• Symmetries of Celestial Amplitudes
• Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids
• Perfect Fluids
• Quantum Chiral Higher Spin Gravity
• Generalized BMS charge algebra
• Carroll Expansion of General Relativity
• Universal Limits on Massless High-Spin Particles
• Exploring the holographic principle in asymptotically flat spacetimes via the BMS group
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• Magnetic Corrections to the Soft Photon Theorem
• BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach
• Null Infinity and Unitary Representation of The Poincare Group
• Null boundary phase space: slicings, news and memory
• Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity
• Holographic Reconstruction of 3D Flat Space-Time
• Vacua of the gravitational field
• Extended BMS Algebra of Celestial CFT
• Celestial Amplitudes: Conformal Partial Waves and Soft Limits
• More on Quantum Chiral Higher Spin Gravity
• The BMS4 algebra at spatial infinity
• Perturbative gravity at null infinity
• BMS Symmetry of Celestial OPE
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Carrollian conservation laws and Ricci-flat gravity
• Connections and dynamical trajectories in generalised Newton-Cartan gravity II. An ambient perspective
• Stress tensor correlators in three-dimensional gravity
• Holography and Entanglement in Flat Spacetime
• Actions for Self-dual Higher Spin Gravities
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Field Theories on Null Manifolds
• Uplifting AdS3/CFT2 to Flat Space Holography
• Holography in asymptotically flat space-times and the BMS group
• Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity
• Conformal Block Expansion in Celestial CFT
• The BMS Bootstrap
• Geometric actions for three-dimensional gravity
• Shifting Spin on the Celestial Sphere
• Variational principle and 1-point functions in 3-dimensional flat space Einstein gravity
• Two-dimensional fluids and their holographic duals
• Classical static final state of collapse with supertranslation memory
• The flat space S-matrix from the AdS/CFT correspondence?
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• BMS Flux Algebra in Celestial Holography
• Null Conservation Laws for Gravity
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Conformal Blocks from Celestial Gluon Amplitudes
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• Gravity from symmetry: Duality and impulsive waves
• Shadows and Soft Exchange in Celestial CFT
• Centrally extended BMS4 Lie algebroid
• Embedding Galilean and Carrollian geometries I. Gravitational waves
• T-Witts from the horizon
• Primary Fields in Celestial CFT
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• On higher-spin supertranslations and superrotations
• Celestial operator products from the worldsheet
• Carrollian hydrodynamics from symmetries
• Celestial Amplitudes as AdS-Witten Diagrams
• Conservation of asymptotic charges from past to future null infinity: Supermomentum in general relativity
• State-Operator Correspondence in Celestial Conformal Field Theory
• The nuts and bolts of the BMS Bootstrap
• On Effective Field Theories with Celestial Duals
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Carrollian manifolds and null infinity: A view from Cartan geometry
• Conformal properties of soft-operators - 1 : Use of null-states
• Geometric actions and flat space holography
• Goldilocks Modes and the Three Scattering Bases
• Celestial holography on Kerr-Schild backgrounds
• Soft photon theorems from CFT Ward identites in the flat limit of AdS/CFT
• Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
• Holographic Lorentz and Carroll Frames
• Geometry and BMS Lie algebras of spatially isotropic homogeneous spacetimes
• On asymptotic symmetries in higher dimensions for any spin
• Gauges in Three-Dimensional Gravity and Holographic Fluids
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Conservation of asymptotic charges from past to future null infinity: Lorentz charges in general relativity
• Celestial $w_{1+\infty }$ Symmetries from Twistor Space
• Conformal properties of soft operators -- 2 : Use of null-states
• The Effective Action of Superrotation Modes
• Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators
• Massless Scalars and Higher-Spin BMS in Any Dimension
• Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
• On the ambiguity in the notion of transverse traceless modes of gravitational waves
• Constructing Carrollian CFTs
• Asymptotically flat spacetimes with BMS${}_3$ symmetry
• Null infinity as an open Hamiltonian system
• On Sugawara construction on Celestial Sphere
• Soft Scalars and the Geometry of the Space of Celestial CFTs
• Wedge Holography in Flat Space and Celestial Holography
• Asymptotic Shear and the Intrinsic Conformal Geometry of Null-Infinity
• A Comment on Loop Corrections to the Celestial Stress Tensor
• Higher-Spin Self-Dual Yang-Mills and Gravity from the twistor space
• All-order celestial OPE in the MHV sector
• Tractor geometry of asymptotically flat spacetimes
• Celestial Recursion
• Hamiltonian surface charges using external sources
• Poincaré Constraints on Celestial Amplitudes
• Celestial Geometry
• A Celestial Matrix Model
• Compatibility of radial, Lorenz and harmonic gauges
• Constraining higher-spin S-matrices

Cited by in corpus (53)

• Carroll black holes
• Carrollian fluids and spontaneous breaking of boost symmetry
• One-Loop Quantum Effects in Carroll Scalars
• Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
• Renormalization of conformal infinity as a stretched horizon
• Quantizing Carrollian field theories
• Super-Carrollian and Super-Galilean Field Theories
• Logarithmic Celestial Conformal Field Theory
• Symmetry group at future null infinity II: Vector theory
• Carrollian Supersymmetry and SYK-like models
• Quantization of Carrollian conformal scalar theories
• Carroll Hawking effect
• Symmetry Resolution in non-Lorentzian Field Theories
• Chern-Simons action and the Carrollian Cotton tensors
• Mixmasters in Wonderland: Chaotic dynamics from Carroll limits of gravity
• Irrelevant and marginal deformed BMS field theories
• Radiation in Fluid/Gravity and the Flat Limit
• Bulk Reconstruction of Scalar Excitations in Flat${}_3$/CCFT${}_2$ and the Flat Limit from (A)dS${}_3$/CFT${}_2$
• Quantization of Carrollian fermions
• The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity
• Asymptotic Limit of Null Hypersurfaces
• A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?
• Quantum symmetries in 2+1 dimensions: Carroll, (a)dS-Carroll, Galilei and (a)dS-Galilei
• One-loop partition function of gravity with leaky boundary conditions
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Carroll spinors
• Flat limit of AdS/CFT from AdS geodesics: scattering amplitudes and antipodal matching of Liénard-Wiechert fields
• Supersymmetric Carroll Galileons in Three Dimensions
• Carroll-Schrödinger Equation
• Hydrodynamics in the Carrollian regime
• Anisotropic conformal Carroll field theories and their gravity duals
• Emergent Carroll symmetry at phase separation in one-dimensional lattice systems
• Celestial Eikonal Amplitudes in the Near-Horizon Region
• AdS${}_3$ Carroll gravity: asymptotic symmetries and C-thermal configurations
• Universal sectors of two-dimensional Carrollian CFTs
• Loop corrections versus marginal deformation in celestial holography
• Using thermodynamics to learn gravitational wave physics
• Character of the highest weight module of BMS algebra realized on codimensional-two boundary
• Modular matrices of 2d Carrollian and warped CFTs
• Carrollian Lie Algebroids: Taming Singular Carrollian Geometries
• Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy
• Flat Holography & Holographic Renormalization: Scalar Field
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
• Quantum field theory in flat spacetime with multiple time directions
• Nonperfect Carrollian Fluids Through Holography
• CFT reconstruction of local bulk operators in half-Minkowski space
• Modular Flow of Celestial Conformal Field Theory
• On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT
• On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions
• Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs
• Rotating Carroll Black Holes: A No Go Theorem
• Strings near BTZ black holes: A Carrollian Chronicle
• Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics