A CFT Perspective on Gravitational Dressing and Bulk Locality

Abstract

We revisit the construction of local bulk operators in AdS/CFT with special focus on gravitational dressing and its consequences for bulk locality. Specializing to 2+1-dimensions, we investigate these issues via the proposed identification between bulk operators and cross-cap boundary states. We obtain explicit expressions for correlation functions of bulk fields with boundary stress tensor insertions, and find that they are free of non-local branch cuts but do have non-local poles. We recover the HKLL recipe for restoring bulk locality for interacting fields as the outcome of a natural CFT crossing condition. We show that, in a suitable gauge, the cross-cap states solve the bulk wave equation for general background geometries, and satisfy a conformal Ward identity analogous to a soft graviton theorem, Virasoro symmetry, the large N conformal bootstrap and the uniformization theorem all play a key role in our derivations.

42 pages, 6 figures; published version

References in corpus (38)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• Bulk Locality and Quantum Error Correction in AdS/CFT
• On BMS Invariance of Gravitational Scattering
• Holography from Conformal Field Theory
• Relative entropy equals bulk relative entropy
• Holographic representation of local bulk operators
• The Analytic Bootstrap and AdS Superhorizon Locality
• Convexity and Liberation at Large Spin
• Universality of Long-Distance AdS Physics from the CFT Bootstrap
• Asymptotic Symmetries of Yang-Mills Theory
• AdS Dynamics from Conformal Field Theory
• Emergent Spacetime and Holographic CFTs
• Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of U_q(sl(2,R))
• Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks
• A Stereoscopic Look into the Bulk
• Constructing local bulk observables in interacting AdS/CFT
• Conformal Bootstrap in Mellin Space
• cMERA as Surface/State Correspondence in AdS/CFT
• Liouville bootstrap via harmonic analysis on a noncompact quantum group
• Diffeomorphism-invariant observables and their nonlocal algebra
• Bulk and Transhorizon Measurements in AdS/CFT
• Sewing Constraints and Non-Orientable Open Strings
• Semiclassical Virasoro Blocks from AdS${}_3$ Gravity
• Decoding the hologram: Scalar fields interacting with gravity
• Conformal Blocks for Arbitrary Spins in Two Dimensions
• Holographic representation of bulk fields with spin in AdS/CFT
• Construction of Bulk Fields with Gauge Redundancy
• Single-exterior black holes and the AdS-CFT conjecture
• CFT representation of interacting bulk gauge fields in AdS
• Poking Holes in AdS/CFT: Bulk Fields from Boundary States
• On the construction of charged operators inside an eternal black hole
• Bulk Local States and Crosscaps in Holographic CFT
• Causal Evolutions of Bulk Local Excitations from CFT
• Holography on Non-Orientable Surfaces
• Exploring the BTZ bulk with boundary conformal blocks
• Combing gravitational hair in 2+1 dimensions

Cited by in corpus (38)

• Bulk locality from modular flow
• Liouville quantum gravity -- holography, JT and matrices
• Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK
• Entanglement Wedge Reconstruction and Entanglement of Purification
• $T\bar{T}$ deformed CFT as a non-critical string
• Flat space physics from AdS/CFT
• From Path Integrals to Tensor Networks for AdS/CFT
• Exact Virasoro Blocks from Wilson Lines and Background-Independent Operators
• An Exact Operator That Knows Its Location
• Local bulk physics from intersecting modular Hamiltonians
• Simplifying large spin bootstrap in Mellin space
• On the Late-Time Behavior of Virasoro Blocks and a Classification of Semiclassical Saddles
• Clocks and Rods in Jackiw-Teitelboim Quantum Gravity
• CFT descriptions of bulk local states in the AdS black holes
• Gauge-invariant observables, gravitational dressings, and holography in AdS
• Crossing Kernels for Boundary and Crosscap CFTs
• Aspects of CFTs on Real Projective Space
• Inside Out: Meet The Operators Inside The Horizon
• Wilson Lines and Ishibashi States in AdS${}_3$/CFT${}_2$
• Unruh detectors and quantum chaos in JT gravity
• Towards a Bootstrap approach to higher orders of epsilon expansion
• AGT/Z${}_2$
• The AdS${}_3$ Propagator and the Fate of Locality
• Into the Bulk: A Covariant Approach
• The Bulk-to-Boundary Propagator in Black Hole Microstate Backgrounds
• Bulk fields from the boundary OPE
• Holographic Dual of Crosscap Conformal Field Theory
• Does boundary quantum mechanics imply quantum mechanics in the bulk?
• What's the Point? Hole-ography in Poincare AdS
• Modular Hamiltonians and large diffeomorphisms in $Ad{S}_3$
• Probing de Sitter Space Using CFT States
• Bulk Reconstruction of Scalar Excitations in Flat${}_3$/CCFT${}_2$ and the Flat Limit from (A)dS${}_3$/CFT${}_2$
• Deriving the non-perturbative gravitational dual of quantum Liouville theory from BCFT operator algebra
• AdS${}_3$ Reconstruction with General Gravitational Dressings
• Universal Dynamics in Non-Orientable CFT${}_2$
• Reconstructing bulk equation of motion using CFT modular Hamiltonians
• Open-closed 3d gravity as a random ensemble
• From $\mathcal{N}=4$ Super-Yang-Mills on ${\mathbb{RP}}^4$ to bosonic Yang-Mills on ${\mathbb{RP}}^2$