Flat-space scattering and bulk locality in the AdS/CFT correspondence

Abstract

The large radius limit in the AdS/CFT correspondence is expected to provide a holographic derivation of flat-space scattering amplitudes. This suggests that questions of locality in the bulk should be addressed in terms of properties of the S-matrix and their translation into the conformal field theory. There are, however, subtleties in this translation related to generic growth of amplitudes near the boundary of anti de-Sitter space. Flat space amplitudes are recovered after a delicate projection of CFT correlators onto normal-mode frequencies of AdS. Once such amplitudes are obtained from the CFT, possible criteria for approximate bulk locality include bounds on growth of amplitudes at high energies and reproduction of semiclassical gravitational scattering at long distances.

25 pages, harvmac. v2: Very minor corrections to eqs. v3: Minor improvements of discussion of locality bounds and string scattering v4. Typos fixed

References in corpus (10)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Holographic Probes of Anti-de Sitter Spacetimes
• Holography in the Flat Space Limit
• The boundary S-matrix and the AdS to CFT dictionary
• S-Matrices from AdS Spacetime
• What Do CFTs Tell Us About Anti-de Sitter Spacetimes?
• Energy-Momentum Conservation and Holographic S-Matrix

Cited by in corpus (77)

• Holography from Conformal Field Theory
• Local bulk operators in AdS/CFT: a boundary view of horizons and locality
• Holography of 3d Flat Cosmological Horizons
• Carrollian Perspective on Celestial Holography
• BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
• Effective Conformal Theory and the Flat-Space Limit of AdS
• Scattering Amplitudes: Celestial and Carrollian
• Extremal surfaces as bulk probes in AdS/CFT
• Local bulk S-matrix elements and CFT singularities
• Flat-Space Chiral Gravity
• Bridging Carrollian and Celestial Holography
• D-branes in Yang-Mills theory and Emergent Gauge Symmetry
• Einstein gravity 3-point functions from conformal field theory
• The gravitational S-matrix
• Exploring the holographic principle in asymptotically flat spacetimes via the BMS group
• The AdS/CFT Correspondence
• Far Beyond the Planar Limit in Strongly-Coupled $\mathcal{N}=4$ SYM
• AdS Witten Diagrams to Carrollian Correlators
• Genus-2 Holographic Correlator on $Ad{S}_5\times S^5$ from Localization
• Conformal Basis, Optical Theorem, and the Bulk Point Singularity
• Modular Invariance in Superstring Theory From $\mathcal{N}=4$ Super-Yang-Mills
• High energy QCD scattering, the shape of gravity on an IR brane, and the Froissart bound
• Flat space holography and complex SYK
• Precursors, black holes, and a locality bound
• Landau diagrams in AdS and S-matrices from conformal correlators
• Conformal Carroll Scalars with Boosts
• New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
• The information paradox and the locality bound
• On Feynman rules for Mellin amplitudes in AdS/CFT
• The flat space S-matrix from the AdS/CFT correspondence?
• Holographic probes of collapsing black holes
• AdS${}_4$/CFT${}_3$ from Weak to Strong String Coupling
• Real-time finite-temperature correlators from AdS/CFT
• Holography from the Wheeler-DeWitt equation
• Gravitational collapse and its boundary description in AdS
• Large $p$ explorations. From SUGRA to big STRINGS in Mellin space
• Carrollian Origins of Bjorken Flow
• Notes on flat-space limit of AdS/CFT
• High energy QCD from Planckian scattering in AdS and the Froissart bound
• Soft photon theorems from CFT Ward identites in the flat limit of AdS/CFT
• Holographic Space-Time: The Takeaway
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• Is string theory a theory of quantum gravity?
• Toward a Theory of Precursors
• Gravity with a cosmological constant from rational curves
• Holography without strings?
• Pure Supersymmetric AdS and the Swampland
• Statistical physics of black holes as quantum-mechanical systems
• Constraints on a fine-grained AdS/CFT correspondence
• Sub-AdS Scale Locality in AdS${}_3$/CFT${}_2$
• How General Is Holography?
• A Scattering Amplitude for Massive Particles in AdS
• $1/L^2$ corrected soft photon theorem from a CFT${}_3$ Ward identity
• Black holes and thermodynamics - The first half century
• Holographic Space-time from the Big Bang to the de Sitter era
• The Massive Flat Space Limit of Cosmological Correlators
• AdS correction to the Faddeev-Kulish state: Migrating from the Flat Peninsula
• Small black holes in global AdS spacetime
• Bootstrapping Witten diagrams via differential representation in Mellin space
• Holography in the Penrose limit of AdS space
• The Regge limit of AdS${}_3$ holographic correlators with heavy states: towards the black hole regime
• Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
• Quantum field theory with a fundamental length: A general mathematical framework
• Holographic Counterterm Actions and Anomalies for Asymptotic AdS and Flat Spaces
• Towards S matrices on flat space and pp waves from SYM
• Flat limit of AdS/CFT from AdS geodesics: scattering amplitudes and antipodal matching of Liénard-Wiechert fields
• An Elliptic One-Loop Amplitude in Anti-de-Sitter Space
• Spinning Particle Geometries in AdS${}_3$/CFT${}_2$
• Beyond the Planck scale
• Reconstruction in quantum field theory with a fundamental length
• Double-trace deformation in Keldysh field theory
• Flat-space Quantum Gravity in AdS/CFT
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
• Carrollian superconformal theories and super BMS
• Flat limit of massless scalar scattering in ${\mathrm{AdS}}_2$
• Black Hole Production from High Energy Scattering in AdS/CFT