Inverse problem of correlation functions in holography
arXiv:2310.10419 · doi:10.1007/JHEP10(2024)228
Abstract
This paper shows that the bulk metric of a planar/spherically/hyperbolically symmetric asymptotically anti-de Sitter static black brane/hole can be reconstructed from its boundary frequency 2-point correlation functions of two probe scalar operators by solving Gel'fand-Levitan-Marchenko integral equation. Since the frequency correlation function is easily handled in experiments and theories, this paper not only proposes a new method to ``measure'' the corresponding holographic spacetime for a material that has holographic dual but also provides an approach to experimentally check if a system has holographic dual.
Update to match the published version
References in corpus (28)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- A class of quantum many-body states that can be efficiently simulated
- Complexity Equals Action
- Entanglement Renormalization and Holography
- Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
- Holographic Entanglement Entropy: An Overview
- Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
- Gravitational Dynamics From Entanglement "Thermodynamics"
- Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
- Bulk locality from modular flow
- A Stereoscopic Look into the Bulk
- Local bulk operators in AdS/CFT: A holographic description of the black hole interior
- Extremal surfaces as bulk probes in AdS/CFT
- Entanglement Wedge Reconstruction and Entanglement of Purification
- Towards Bulk Metric Reconstruction from Extremal Area Variations
- An Exact Operator That Knows Its Location
- Extracting the bulk metric from boundary information in asymptotically AdS spacetimes
- Extracting spacetimes using the AdS/CFT conjecture
- Extracting Spacetimes using the AdS/CFT Conjecture: Part II
- Towards precision holography
- Deep learning bulk spacetime from boundary optical conductivity
- Disentangling the gravity dual of Yang-Mills theory
- Building Bulk Geometry from the Tensor Radon Transform
- A transmutation operator method for solving the inverse quantum scattering problem
- Determining a Riemannian Metric from Minimal Areas
- Transmutation operators and a new representation for solutions of perturbed Bessel equations
- Reconstructing black hole exteriors and interiors using entanglement and complexity
- Inverse Scattering with Partial data on Asymptotically Hyperbolic Manifolds