Can one hear the shape of a wormhole?
arXiv:2207.02225 · doi:10.1007/JHEP09(2022)241
Abstract
A large class of flat big bang - big crunch cosmologies with negative cosmological constant are related by analytic continuation to asymptotically AdS traversable wormholes with planar cross section. In recent works (arXiv: 2102.05057, 2203.11220) it was suggested that such wormhole geometries may be dual to a pair of 3D holographic CFTs coupled via auxiliary degrees of freedom to give a theory that confines in the infrared. In this paper, we explore signatures of the presence of such a wormhole in the state of the coupled pair of 3D theories. We explain how the wormhole geometry is reflected in the spectrum of the confining theory and the behavior of two-point functions and entanglement entropies. We provide explicit algorithms to reconstruct the wormhole scale factor (which uniquely determines its geometry) from entanglement entropies, heavy operator two-point functions, or light operator two-point functions (which contain the spectrum information). In the last case, the physics of the bulk scalar field dual to the light operator is closely related to the quantum mechanics of a one-dimensional particle in a potential derived from the scale factor, and the problem of reconstructing the scale factor from the two-point function is directly related to the problem of reconstructing this Schrödinger potential from its spectrum.
arXiv comment37 Pages + appendices, 4 Figures
References in corpus (20)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Low energy hadron physics in holographic QCD
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Traversable Wormholes via a Double Trace Deformation
- Wormholes in AdS
- Diving into traversable wormholes
- Eternal traversable wormhole
- Boundary Conditions and Dualities: Vector Fields in AdS/CFT
- Black Hole Microstate Cosmology
- A modular toolkit for bulk reconstruction
- Cosmology at the end of the world
- Conformal field theories in anti-de Sitter space
- Cosmology from confinement?
- Soft photon theorems from CFT Ward identites in the flat limit of AdS/CFT
- Lessons on Eternal Traversable Wormholes in AdS
- Extracting Spacetimes using the AdS/CFT Conjecture: Part II
- A Note on AdS/CFT Dual of SL(2,Z) Action on 3D Conformal Field Theories with U(1) Symmetry
- Holographic boundary states and dimensionally-reduced braneworld spacetimes
- Bottom-up holographic models for cosmology
- Negative energy enhancement in layered holographic conformal field theories