Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
arXiv:2010.16398 · doi:10.1007/JHEP02(2021)173
Abstract
We examine holographic complexity in the doubly holographic model introduced in [arXiv:2006.04851][arXiv:2010.00018] to study quantum extremal islands. We focus on the holographic complexity=volume (CV) proposal for boundary subregions in the island phase. Exploiting the Fefferman-Graham expansion of the metric and other geometric quantities near the brane, we derive the leading contributions to the complexity and interpret these in terms of the generalized volume of the island derived from the induced higher-curvature gravity action on the brane. Motivated by these results, we propose a generalization of the CV proposal for higher curvature theories of gravity. Further, we provide two consistency checks of our proposal by studying Gauss-Bonnet gravity and f(R) gravity in the bulk.
arXiv comment45+5pages, 5 figures
References in corpus (135)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Large N Limit of Superconformal Field Theories and Supergravity
- f(R) Theories Of Gravity
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- 4D Gravity on a Brane in 5D Minkowski Space
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Aspects of Holographic Entanglement Entropy
- A Covariant Holographic Entanglement Entropy Proposal
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Lecture Notes on Holographic Renormalization
- Generalized gravitational entropy
- Information in Black Hole Radiation
- Replica Wormholes and the Entropy of Hawking Radiation
- Complexity Equals Action
- Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
- Quantum corrections to holographic entanglement entropy
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- Complexity and Shock Wave Geometries
- The Page curve of Hawking radiation from semiclassical geometry
- On Black Hole Entropy
- Locally Localized Gravity
- Complexity, action, and black holes
- Holographic c-theorems in arbitrary dimensions
- Entanglement Renyi entropies in holographic theories
- Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
- Relative entropy equals bulk relative entropy
- Jerusalem Lectures on Black Holes and Quantum Information
- Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
- The Gravity Dual of a Density Matrix
- Causality & holographic entanglement entropy
- Circuit complexity in quantum field theory
- Towards Complexity for Quantum Field Theory States
- Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
- Time Dependence of Hawking Radiation Entropy
- Gravitational action with null boundaries
- Holographic Entanglement Entropy
- Holographic Entanglement Entropy for General Higher Derivative Gravity
- A Quantum Focussing Conjecture
- Entanglement Equilibrium and the Einstein Equation
- Comments on Holographic Complexity
- Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
- Massive Islands
- Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
- Deriving covariant holographic entanglement
- On the Time Dependence of Holographic Complexity
- Holographic Complexity
- Noether charge, black hole volume, and complexity
- Diffeomorphisms and Holographic Anomalies
- Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- Entanglement islands in higher dimensions
- Proof of the Quantum Null Energy Condition
- Information radiation in BCFT models of black holes
- Boundary Terms, Variational Principles and Higher Derivative Modified Gravity
- Brane versus shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories
- Entanglement Entropy, Trace Anomalies and Holography
- Islands in Schwarzschild black holes
- Islands in cosmology
- Bra-ket wormholes in gravitationally prepared states
- Page Curve for an Evaporating Black Hole
- Islands in Asymptotically Flat 2D Gravity
- Holographic Complexity in Vaidya Spacetimes II
- Gravity/Ensemble Duality
- Black Hole Microstate Cosmology
- Notes on islands in asymptotically flat 2d dilaton black holes
- On Volumes of Subregions in Holography and Complexity
- Subsystem Complexity and Holography
- Island in the Presence of Higher Derivative Terms
- Holographic Complexity in Vaidya Spacetimes I
- Hamiltonian formulation of f(Riemann) theories of gravity
- Simple holographic models of black hole evaporation
- Islands for Reflected Entropy
- Complexity of Mixed States in QFT and Holography
- Holographic Complexity of Einstein-Maxwell-Dilaton Gravity
- Holographic complexity is nonlocal
- Complexity and the bulk volume, a new York time story
- Pulling Out the Island with Modular Flow
- On Complexity for Higher Derivative Gravities
- Holographic Spacetimes as Quantum Circuits of Path-Integrations
- Topological Complexity in AdS3/CFT2
- Reflected Entropy for an Evaporating Black Hole
- Some Calculable Contributions to Holographic Entanglement Entropy
- Holographic Subregion Complexity from Kinematic Space
- Unitarity From a Smooth Horizon?
- Gravitational Thermodynamics of Causal Diamonds in (A)dS
- The boundary dual of the bulk symplectic form
- Geometric secret sharing in a model of Hawking radiation
- Complexity Growth Rate in Lovelock Gravity
- Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
- Holographic subregion complexity under a thermal quench
- On Spacetime Entanglement
- Holographic Complexity for Defects Distinguishes Action from Volume
- Subregion Action and Complexity
- The ghost in the radiation: Robust encodings of the black hole interior
- Complexity change under conformal transformations in AdS/CFT
- Wormhole calculus, replicas, and entropies
- Entanglement equilibrium for higher order gravity
- Holographic Complexity and Volume
- On entanglement entropy functionals in higher derivative gravity theories
- Time Dependence of Holographic Complexity in Gauss-Bonnet Gravity
- Various Hamiltonian formulations of f(R) gravity and their canonical relationships
- Unitarity of Entanglement and Islands in Two-Sided Janus Black Holes
- Surface term, corner term, and action growth in F(Riemann) gravity theory
- Complexity in the presence of a boundary
- Gravitational path integral from the deformation
- Does Boundary Distinguish Complexities?
- Genus Two Partition Functions and Renyi Entropies of Large c CFTs
- Hawking Radiation Correlations of Evaporating Black Holes in JT Gravity
- Note on generalized gravitational entropy in Lovelock gravity
- Holographic Subregion Complexity for Singular Surfaces
- Complexity of mixed Gaussian states from Fisher information geometry
- Cutoff Dependence and Complexity of the CFT Ground State
- A Note on Holographic Weyl Anomaly and Entanglement Entropy
- Holographic Purification Complexity
- Surface Theory: the Classical, the Quantum, and the Holographic
- Lovelock action with nonsmooth boundaries
- On volume subregion complexity in Vaidya spacetime
- Entanglement Entropy and Subregion Complexity in Thermal Perturbations around Pure-AdS Spacetime
- On subregion action complexity in AdS and in the BTZ black hole
- Effect of back reaction on entanglement and subregion volume complexity in strongly coupled plasma
- Holographic complexity growth in a FLRW universe
- Null boundary terms for Lanczos-Lovelock gravity
- Subsystem complexity in warped AdS
- Complexity-action of subregions with corners
- Spacetime Entanglement with f(R) Gravity
- Revisit on holographic complexity in two-dimensional gravity
- Holographic subregion complexity of boosted black brane and Fisher information
- Holographic Subregion Complexity in General Vaidya Geometry
- On the Canonical Formalism for a Higher-Curvature Gravity
- The first law of differential entropy and holographic complexity
- Stringy Effects and the Role of the Singularity in Holographic Complexity
- Holographic Entanglement Entropy, Subregion Complexity and Fisher Information metric of `black' Non-SUSY D3 Brane
- A note on holographic subregion complexity and QCD phase transition
Cited by in corpus (80)
- Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
- Holographic BCFTs and Communicating Black Holes
- Does Complexity Equal Anything?
- Island in Charged Black Holes
- BCFT and Islands in Two Dimensions
- Islands and Page curves of Reissner-Nordström black holes
- Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
- Islands in charged linear dilaton black holes
- Islands and stretched horizon
- Complexity Equals Anything II
- The universality of islands outside the horizon
- The Price of Curiosity: Information Recovery in de Sitter Space
- Probing Hawking radiation through capacity of entanglement
- Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
- Replica wormholes and capacity of entanglement
- Defect extremal surface as the holographic counterpart of Island formula
- Black holes in dS
- Page curves for a family of exactly solvable evaporating black holes
- Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
- Defect Extremal Surface for Reflected Entropy
- Sailing past the End of the World and discovering the Island
- Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
- From the BTZ black hole to JT gravity: geometrizing the island
- AdS/BCFT with Brane-Localized Scalar Field
- Partial islands and subregion complexity in geometric secret-sharing model
- Holographic Complexity of Quantum Black Holes
- Brane Dynamics of Holographic BCFTs
- Submerging islands through thermalization
- Page Curve for Entanglement Negativity through Geometric Evaporation
- Islands with Gravitating Baths: Towards ER = EPR
- Quantum Extremal Surfaces and the Holographic Entropy Cone
- Complexity=Anything: Singularity Probes
- Page Curve of Effective Hawking Radiation
- Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
- The PEE aspects of entanglement islands from bit threads
- Homology Conditions for RT Surfaces in Double Holography
- Island may not save the information paradox of Liouville black holes
- The Markov gap in the presence of islands
- JT Gravity from Partial Reduction and Defect Extremal Surface
- Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?
- Energy Transport for Thick Holographic Branes
- Ephemeral Islands, Plunging Quantum Extremal Surfaces and BCFT channels
- Entanglement entropy analysis of dyonic black holes using doubly holographic theory
- Spacetime as a quantum circuit
- Defect extremal surfaces for entanglement negativity
- Ownerless island and partial entanglement entropy in island phases
- Islands in the Stream of Hawking Radiation
- Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates
- Grey-body Factors, Irreversibility and Multiple Island Saddles
- Action complexity in the presence of defects and boundaries
- Complexity in a moving mirror model
- Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
- Entanglement between two evaporating black holes
- Entanglement entropy and vacuum states in Schwarzschild geometry
- Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
- Radiation, entanglement and islands from a boundary local quench
- A comment on a fine-grained description of evaporating black holes with baby universes
- Holographic complexity: braneworld gravity versus the Lloyd bound
- Black holes Entangled by Radiation
- Exploring causality in braneworld/cutoff holography via holographic scattering
- Delicate windows into evaporating black holes
- Page Curve of AdS-Vaidya Model for Evaporating Black Holes
- Black Hole Information Recovery in JT Gravity
- Page Curve from Defect Extremal Surface and Island in Higher Dimensions
- Binary AdS black holes coupled to a bath in Type IIB
- Multiway Junction Conditions: Booklets and Webs
- Generalized holographic complexity of rotating black holes
- Entanglement inside a black hole before the Page time
- New Topological Gauss-Bonnet Black Holes in Five Dimensions
- Encoded information of mixed correlations: the views from one dimension higher
- The landscape of complexity measures in 2D gravity
- Universal Time Evolution of Holographic and Quantum Complexity
- Holographic entanglement entropy of deSitter braneworld with Lovelock
- Subsystem Complexity and Measurements in Holography
- Entanglement Entropy and Complexity in Dyonic Quantum Black Holes
- Holographic and QFT Complexity with angular momentum
- Geometry of quantum complexity
- Boundary mutual information in double holography
- Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff
- Circumventing the black hole hair-loss problem