Holographic representation of bulk fields with spin in AdS/CFT

Abstract

We develop the representation of bulk fields with spin one and spin two in anti-de Sitter space, as non-local observables in the dual CFT. Working in holographic gauge in the bulk, at leading order in 1/N bulk gauge fields are obtained by smearing boundary currents over a sphere on the complexified boundary, while linearized metric fluctuations are obtained by smearing the boundary stress tensor over a ball. This representation respects AdS covariance up to a compensating gauge transformation. We also consider massive vector fields, where the bulk field is obtained by smearing a non-conserved current. We compute bulk two-point functions and show that bulk locality is respected. We show how to include interactions of massive vectors using 1/N perturbation theory, and we comment on the issue of general backgrounds.

45 pages, LaTeX, 1 figure. v2: corrected typo in equation (75)

References in corpus (9)

• Holographic representation of local bulk operators
• Holographic and Wilsonian Renormalization Groups
• Constructing local bulk observables in interacting AdS/CFT
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry
• Chiral anomalies and AdS/CMT in two dimensions
• AdS/CFT beyond the unitarity bound
• Lectures on black holes and the AdS_3 / CFT_2 correspondence
• Boundary Conditions and Unitarity: the Maxwell-Chern-Simons System in AdS_3/CFT_2

Cited by in corpus (60)

• Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
• Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture
• Diffeomorphism-invariant observables and their nonlocal algebra
• Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
• Decoding the hologram: Scalar fields interacting with gravity
• Eternal Black Holes and Superselection in AdS/CFT
• Cauchy Slice Holography: A New AdS/CFT Dictionary
• CFT representation of interacting bulk gauge fields in AdS
• Bulk-Boundary Duality, Gauge Invariance, and Quantum Error Correction
• A World without Pythons would be so Simple
• A CFT Perspective on Gravitational Dressing and Bulk Locality
• An Exact Operator That Knows Its Location
• Violations of the Born rule in cool state-dependent horizons
• Linearity of Holographic Entanglement Entropy
• A Conformal Collider for Holographic CFTs
• On the construction of charged operators inside an eternal black hole
• Constraints on quasinormal modes and bounds for critical points from pole-skipping
• Canonical Formulation of $O(N)$ Vector/Higher Spin Correspondence
• Holographic Representation of Higher Spin Gauge Fields
• Bulk metric reconstruction from boundary entanglement
• TASI Lectures on the Emergence of the Bulk in AdS/CFT
• AdS/CFT Correspondence in Operator Formalism
• Holographic Representation of Local Operators In De Sitter Space
• Bulk Locality in AdS/CFT Correspondence
• Intertwining Operator Realization of anti de Sitter Holography
• On the Dynamics in the AdS/BCFT Correspondence
• Hologram of a pure state black hole
• (A)dS Holography with a Cut-off
• Bulk reconstruction using timelike entanglement in (A)dS
• Size of bulk fermions in the SYK model
• Effective Action, Spectrum and First Law of Wedge Holography
• Bulk reconstruction for spinor fields in AdS/CFT
• Into the Bulk: A Covariant Approach
• Classical Limit of Large N Gauge Theories with Conformal Symmetry
• Bulk Locality and Entanglement Swapping in AdS/CFT
• Combing gravitational hair in 2+1 dimensions
• Metric Perturbations of Extremal Surfaces
• Holography in de Sitter and anti-de Sitter Spaces and Gel'fand Graev Radon transform
• Comments on spinning OPE blocks in AdS${}_3$/CFT${}_2$
• HKLL bulk reconstruction for small $\Delta$
• Bulk reconstruction in rotating BTZ black hole
• Lectures on Bulk Reconstruction
• Bulk reconstruction in AdS and Gel'fand-Graev-Radon Transform
• Firewalls as artefacts of inconsistent truncations of quantum geometries
• Deriving the First Law of Black Hole Thermodynamics without Entanglement
• HKLL for the Non-Normalizable Mode
• Dressing bulk fields in AdS${}_3$
• Extension of the HKLL bulk reconstruction for small $\Delta$
• Holographic bulk reconstruction beyond (super)gravity
• Bulk equations of motion from CFT correlators
• Holographic RG from ERG: Locality and General Coordinate Invariance in the Bulk
• Reconstructing bulk equation of motion using CFT modular Hamiltonians
• Holographic Bulk Reconstruction And Cosmological Singularities
• Regge OPE blocks and light-ray operators
• Linear gravity from conformal symmetry
• Simple Bulk Reconstruction in AdS/CFT Correspondence
• Symmetries of the Trautman retarded radial coordinates
• CFT reconstruction of local bulk operators in half-Minkowski space
• Symmetry transformation of subregion bulk representations
• Bulk reconstruction and Bogoliubov transformations in AdS${}_2$