The Regge limit of AdS${}_3$ holographic correlators

Abstract

We study the Regge limit of 4-point AdS${}_3\times S^3$ correlators in the tree-level supergravity approximation and provide various explicit checks of the relation between the eikonal phase derived in the bulk picture and the anomalous dimensions of certain double-trace operators. We consider both correlators involving all light operators and HHLL correlators with two light and two heavy multi-particle states. These heavy operators have a conformal dimension proportional to the central charge and are pure states of the theory, dual to asymptotically AdS${}_3\times S^3$ regular geometries. Deviation from AdS${}_3\times S^3$ is parametrised by a scale $\mu$ and is related to the conformal dimension of the dual heavy operator. In the HHLL case, we work at leading order in $\mu$ and derive the CFT data relevant to the bootstrap relations in the Regge limit. Specifically, we show that the minimal solution to these equations relevant for the conical defect geometries is different to the solution implied by the microstate geometries dual to pure states.

arXiv comment41 pages, 2 figures. v2: to appear in JHEP

References in corpus (44)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Holes: Complementarity or Firewalls?
• The information paradox: A pedagogical introduction
• Holography from Conformal Field Theory
• AdS/CFT duality and the black hole information paradox
• Analyticity in Spin in Conformal Theories
• Universality of Long-Distance AdS Physics from the CFT Bootstrap
• Conformal Regge theory
• Virasoro Conformal Blocks and Thermality from Classical Background Fields
• Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
• Smooth horizonless geometries deep inside the black-hole regime
• Habemus Superstratum! A constructive proof of the existence of superstrata
• Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
• Gravitational S-matrix from CFT dispersion relations
• Fuzzballs with internal excitations
• Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions
• Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
• De-singularization by rotation
• Mergers and Typical Black Hole Microstates
• Deep Inelastic Scattering in Conformal QCD
• Bounds for OPE coefficients on the Regge trajectory
• Eikonal Methods in AdS/CFT: Regge Theory and Multi-Reggeon Exchange
• Bulk Phase Shift, CFT Regge Limit and Einstein Gravity
• Holographic Reconstruction of AdS Exchanges from Crossing Symmetry
• Conformal Bootstrap in the Regge Limit
• $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
• Unitary 4-point correlators from classical geometries
• Thermal Decay without Information Loss in Horizonless Microstate Geometries
• Black Holes, Heavy States, Phase Shift and Anomalous Dimensions
• Correlators at large c without information loss
• Holographic 4-point correlators with heavy states
• Holographic correlators in AdS${}_3$ without Witten diagrams
• Holographic correlators in AdS${}_3$
• Early Scrambling and Capped BTZ Geometries
• Tidal Stresses and Energy Gaps in Microstate Geometries
• Chaos at the rim of black hole and fuzzball shadows
• The dark side of fuzzball geometries
• Probing Fuzzballs with Particles, Waves and Strings
• The Great Escape: Tunneling out of Microstate Geometries
• AdS${}_3$ four-point functions from $\frac{1}{8}$-BPS states
• Holographic Correlators on Integrable Superstrata
• Late time Wilson lines
• Lectures on Microstate Geometries

Cited by in corpus (19)

• Gravitational orbits, double-twist mirage, and many-body scars
• Supercharged AdS${}_3$ Holography
• Thermalization in Large-N CFTs
• AdS${}_3$ holography for non-BPS geometries
• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• Resolving Black-Hole Microstructure with New Momentum Carriers
• The (amazing) Super-Maze
• Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• The Regge limit of AdS${}_3$ holographic correlators with heavy states: towards the black hole regime
• Aspects of Holography in Conical $Ad{S}_3$
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• Gravitational Atoms from Topological Stars
• Precision holography of AdS${}_5$ bubbling geometries
• Notes on AdS-Schwarzschild eikonal phase