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 (47)

• Generalized Global Symmetries
• Writing CFT correlation functions as AdS scattering 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
• Flat Holography: Aspects of the dual field theory
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Gluon Amplitudes as 2d Conformal Correlators
• Low's Subleading Soft Theorem as a Symmetry of QED
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Entanglement entropy in Galilean conformal field theories and flat holography
• Light-Front Higher-Spin Theories in Flat Space
• Conformal Carroll groups
• Dynamics of Carroll Particles
• Field Theories with Conformal Carrollian Symmetry
• Symmetries of Celestial Amplitudes
• Universal Limits on Massless High-Spin Particles
• Perturbative gravity at null infinity
• Holography and Entanglement in Flat Spacetime
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Geometric actions for three-dimensional gravity
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• Celestial Amplitudes as AdS-Witten Diagrams
• Carrollian hydrodynamics from symmetries
• Conservation of asymptotic charges from past to future null infinity: Supermomentum in general relativity
• The nuts and bolts of the BMS Bootstrap
• On Effective Field Theories with Celestial Duals
• Celestial holography on Kerr-Schild backgrounds
• Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
• Holographic Lorentz and Carroll Frames
• On asymptotic symmetries in higher dimensions for any spin
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• 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
• Asymptotically flat spacetimes with BMS${}_3$ symmetry
• Null infinity as an open Hamiltonian system
• Soft Scalars and the Geometry of the Space of Celestial CFTs
• Wedge Holography in Flat Space and Celestial Holography
• Higher-Spin Self-Dual Yang-Mills and Gravity from the twistor space
• A Comment on Loop Corrections to the Celestial Stress Tensor
• All-order celestial OPE in the MHV sector
• Celestial Recursion
• 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