AdS/BCFT and Island for curvature-squared gravity

Abstract

In this paper, we investigate AdS/BCFT for curvature-squared gravity. To warm up, we start with Gauss-Bonnet gravity. We derive the one point function of stress tensor and show that the central charge related to the norm of displacement operator is positive for the couplings obeying causality constraints. Furthermore, by imposing the null energy condition on the end-of-the-world brane, we prove the holographic g-theorem for Gauss-Bonnet gravity. This corrects a wrong point of view in the literature, which claims that the holographic g-theorem is violated for Gauss-Bonnet gravity. As a by-product, we obtain the boundary entropy and A-type boundary central charges in general dimensions. We also study AdS/BCFT for general curvature-squared gravity. We find that it is too restrictive for the shape of the brane and the dual BCFT is trivial if one imposes Neumann boundary conditions for all of the gravitational modes. Instead, we propose to impose Dirichlet boundary condition for the massive graviton, while imposing Neumann boundary condition for the massless graviton. In this way, we obtain non-trivial shape dependence of stress tensor and well-defined central charges. In particular, the holographic g-theorem is satisfied by general curvature-squared gravity. Finally, we discuss the island and show that the Page curve can be recovered for Gauss-Bonnet gravity. Interestingly, there are zeroth-order phase transitions for the Page curve within one range of couplings obeying causality constraints. Generalizing the discussions to holographic entanglement entropy and holographic complexity in AdS/CFT, we get new constraints for the Gauss-Bonnet coupling, which is stronger than the causality constraint.

49 pages, 29 figures, revision accepted for publication in JHEP, main improvements: prove that our g-function can recover the universal term of boundary entropy in general dimensions; add a toy model to explain the novel zeroth-order phase transition of the Page curve analytically

References in corpus (39)

• Complexity and Shock Wave Geometries
• The entropy of Hawking radiation
• Holographic c-theorems in arbitrary dimensions
• Massive Islands
• Critical Gravity in Four Dimensions
• Information Transfer with a Gravitating Bath
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Inconsistency of Islands in Theories with Long-Range Gravity
• Boundary Conformal Field Theory and a Boundary Central Charge
• Codimension two holography for wedges
• Gravity/Ensemble Duality
• Critical Islands
• Island in the Presence of Higher Derivative Terms
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• Island in Charged Black Holes
• Islands and Page curves in 4d from Type IIB
• Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
• Dirichlet Baths and the Not-so-Fine-Grained Page Curve
• Islands in charged linear dilaton black holes
• Geometric secret sharing in a model of Hawking radiation
• The universality of islands outside the horizon
• Probing Hawking radiation through capacity of entanglement
• Displacement Operators and Constraints on Boundary Central Charges
• Replica wormholes and capacity of entanglement
• An Exact Construction of Codimension two Holography
• Island, Page Curve and Superradiance of Rotating BTZ Black Holes
• Bath deformations, islands and holographic complexity
• Causal Structures and Nonlocality in Double Holography
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Holographic stress tensor at finite coupling
• Codimension-n Holography for Cones
• Universality in the Shape Dependence of Holographic Rényi Entropy for General Higher Derivative Gravity
• Homology Conditions for RT Surfaces in Double Holography
• Information transfer with a twist
• Conformal Boundary Condition and Massive Gravitons in AdS/BCFT
• Partial Reduction and Cosmology at Defect Brane
• On quasi-local Hamiltonians in General Relativity
• Effective Action, Spectrum and First Law of Wedge Holography
• Double layer from least action principle

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• Brane Dynamics of Holographic BCFTs
• BCFT in a Black Hole Background: An Analytical Holographic Model
• The PEE aspects of entanglement islands from bit threads
• Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
• Island on codimension-two branes in AdS/dCFT
• Entanglement entropy analysis of dyonic black holes using doubly holographic theory
• Defect extremal surfaces for entanglement negativity
• Island formula in Planck brane
• Mutual information of subsystems and the Page curve for Schwarzschild de-Sitter black hole
• Entanglement entropy and Page curve from the $\mathcal{M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling
• Infrared Regularization and Finite Size Dynamics of Entanglement Entropy in Schwarzschild Black Hole
• Island of Reissner-Nordstr$\ddot{\mathbf{o}}$m anti-de Sitter black holes in the large $d$ limit
• Ghost Problem, Spectrum Identities and Various Constraints on Brane-localized Gravity
• Gauss-Bonnet AdS planar and spherical black hole thermodynamics and holography
• Binary AdS black holes coupled to a bath in Type IIB
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Cone Holography with Neumann Boundary Conditions and Brane-localized Gauge Fields
• Towards bit threads in general gravitational spacetimes
• Timelike entanglement and central charge for quantum BTZ black holes
• Boundary terms, branes and AdS/BCFT in first-order gravity