Brane Dynamics of Holographic BCFTs

Abstract

In this paper we study various dynamical aspects of the AdS/BCFT correspondence in higher dimensions. We study properties of holographic stress energy tensor by analyzing the metric perturbation in the gravity dual. We also calculate the stress energy tensor for a locally excited state on a half plane in a free scalar CFT. Both of them satisfy a reflective boundary condition that is expected for any BCFTs. We also study the behavior of the scalar field perturbation in the AdS/BCFT setup and show that they also show complete reflections. Moreover, we find that the entanglement entropy of a BCFT computed from the AdS/BCFT matched with that calculated from the Island formula, which supports the Island/BCFT correspondence in higher dimensions. Finally we show how we can calculate one point functions in a BCFT in our gravity dual.

45 + 14 pages, 11 figures

References in corpus (36)

• Boundary Conformal Field Theory and a Boundary Central Charge
• Gravity/Ensemble Duality
• Entanglement entropy in holographic moving mirror and Page curve
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• Islands and Page curves in 4d from Type IIB
• BCFT and Islands in Two Dimensions
• Comments on wormholes, ensembles, and cosmology
• Corner contributions to holographic entanglement entropy in AdS4/BCFT3
• Holo-ween
• An Exact Construction of Codimension two Holography
• Cosmology from confinement?
• Sailing past the End of the World and discovering the Island
• Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
• Causal Structures and Nonlocality in Double Holography
• Bath deformations, islands and holographic complexity
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory
• On the Page curve under final state projection
• AdS/BCFT and Island for curvature-squared gravity
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Structure of Holographic BCFT Correlators from Geodesics
• Looking for (and not finding) a bulk brane
• The Spectrum of Boundary States in Symmetric Orbifolds
• Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography
• Zoo of holographic moving mirrors
• Conformal Boundary Condition and Massive Gravitons in AdS/BCFT
• Mapping out the internal space in AdS/BCFT with Wilson loops
• On the Dynamics in the AdS/BCFT Correspondence
• Universal Dynamics of Heavy Operators in Boundary CFT${}_2$
• Complexity in a moving mirror model
• Bottom-up holographic models for cosmology
• Cobordism Conjecture in AdS
• Radiation, entanglement and islands from a boundary local quench
• One-Loop Correction to the AdS/BCFT Partition Function in the Three Dimensional Pure Gravity
• Holographic moving mirrors
• Holographic Local Operator Quenches in BCFTs

Cited by in corpus (24)

• Aspects of AdS${}_2$ Quantum Gravity and the Karch-Randall Braneworld
• AdS/BCFT with Brane-Localized Scalar Field
• Entanglement Island and Page Curve in Wedge Holography
• Time-like Entanglement Entropy in AdS/BCFT
• Island on codimension-two branes in AdS/dCFT
• JT Gravity from Partial Reduction and Defect Extremal Surface
• Island formula in Planck brane
• Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates
• AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles
• End of the World Brane meets $T\bar{T}$
• Holographic complexity: braneworld gravity versus the Lloyd bound
• Semiclassical Einstein equations from holography and boundary dynamics
• Ghost Problem, Spectrum Identities and Various Constraints on Brane-localized Gravity
• Binary AdS black holes coupled to a bath in Type IIB
• Entanglement inside a black hole before the Page time
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Non-extremal Island in de Sitter Gravity
• Boundary and defect criticality in topological insulators and superconductors
• Information metric on the boundary
• Encoded information of mixed correlations: the views from one dimension higher
• Boundary terms, branes and AdS/BCFT in first-order gravity
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• Holographic Reflected Entropy: Islands and Defect Phases
• Boundary mutual information in double holography