On the reconstruction of Lifshitz spacetimes
arXiv:1512.04538 · doi:10.1007/JHEP03(2016)195
Abstract
We consider the reconstruction of a Lifshitz spacetime from three perspectives: differential entropy (or "hole-ography"), causal wedges and entanglement wedges. We find that not all time-varying bulk curves in vacuum Lifshitz can be reconstructed via the differential entropy approach, adding a caveat to the general analysis of \cite{Headrick:2014eia}. We show that the causal wedge for Lifshitz spacetimes degenerates, while the entanglement wedge requires the additional consideration of a set of boundary-emanating light-sheets. The need to include bulk surfaces with no clear field theory interpretation in the differential entropy construction and the change in the entanglement wedge formation both serve as warnings against a naive application of holographic entanglement entropy proposals in Lifshitz spacetimes.
arXiv comment40 pages, 14 figures; v2: references added
References in corpus (49)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Aspects of Holographic Entanglement Entropy
- A Covariant Holographic Entanglement Entropy Proposal
- The holographic principle
- Generalized gravitational entropy
- Gravitation from Entanglement in Holographic CFTs
- Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
- The Gravity Dual of a Density Matrix
- Causality & holographic entanglement entropy
- Gravitational Dynamics From Entanglement "Thermodynamics"
- Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
- Theorems on gravitational time delay and related issues
- Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
- Entanglement entropy in Galilean conformal field theories and flat holography
- Lifshitz holography
- Causal Holographic Information
- On String Theory Duals of Lifshitz-like Fixed Points
- Holographic stress tensor for non-relativistic theories
- Lifshitz Space-Times for Schroedinger Holography
- Warped Conformal Field Theory as Lower Spin Gravity
- What Do CFTs Tell Us About Anti-de Sitter Spacetimes?
- Holography for asymptotically locally Lifshitz spacetimes
- Holographic Holes in Higher Dimensions
- Holographic Holes and Differential Entropy
- Entanglement Entropy in Warped Conformal Field Theories
- Lifshitz holography: The whole shebang
- Anisotropic Conformal Infinity
- Holographic thermalization with Lifshitz scaling and hyperscaling violation
- Schrödinger Holography with and without Hyperscaling Violation
- On the Null Energy Condition and Causality in Lifshitz Holography
- Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
- Extracting the bulk metric from boundary information in asymptotically AdS spacetimes
- Entanglement at a Two-Dimensional Quantum Critical Point: a T=0 Projector Quantum Monte Carlo Study
- Coarse-grained entropy and causal holographic information in AdS/CFT
- Extracting spacetimes using the AdS/CFT conjecture
- Extracting Spacetimes using the AdS/CFT Conjecture: Part II
- Entanglement Entropy in Non-Relativistic Field Theories
- Global properties of causal wedges in asymptotically AdS spacetimes
- Properties of Causal Holographic Information
- Numerical metric extraction in AdS/CFT
- Universal Behavior of Entanglement in 2D Quantum Critical Dimer Models
- Complex Entangling Surfaces for AdS and Lifshitz Black Holes?
- Covariant Constraints on Hole-ography
- What do non-relativistic CFTs tell us about Lifshitz spacetimes?
- Lifshitz to AdS flow with interpolating p-brane solutions
- Holographic entanglement and causal information in coherent states
- Schrodinger Holography for z<2
- Comments on universal properties of entanglement entropy and bulk reconstruction
- Hidden horizons in non-relativistic AdS/CFT
Cited by in corpus (21)
- Entanglement Entropy in Flat Holography
- Entanglement Wedge Reconstruction and Entanglement of Purification
- Swing surfaces and holographic entanglement beyond AdS/CFT
- Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals
- Warped Information and Entanglement Islands in AdS/WCFT
- Generalized Gravitational Entropy for Warped Anti-de Sitter Space
- Calibrated Entanglement Entropy
- Homogeneous Nonrelativistic Geometries as Coset Spaces
- Lifshitz entanglement entropy from holographic cMERA
- Holographic Entanglement Entropy on Generic Time Slices
- Informational properties of holographic Lifshitz field theory
- Bulk reconstruction of metrics inside black holes by complexity
- Entanglement Wedge Cross Section Growth During Thermalization
- What's the Point? Hole-ography in Poincare AdS
- Constructing entanglement wedges for Lifshitz spacetimes with Lifshitz gravity
- Emergent Horizons and Causal Structures in Holography
- Entanglement after Quantum Quenches in Lifshitz Scalar Theories
- Squashed Entanglement from Generalized Rindler Wedge
- Energy-entropy relation for asymptotically Lifshitz spacetimes with universal horizons
- Entangled universes
- Kasner-type singularities and solitons with Lifshitz asymptotics