Entanglement, defects, and $T\bar{T}$ on a black hole background

Abstract

In this article, we investigate the proposed duality between the island and the defect extremal surface (DES) prescriptions using the fine-grained entanglement entropy in Karch-Randall (KR) brane-world models with gravitating radiation baths. We consider the AdS${}_3$ black string geometry and compute the entanglement entropy for radiation subsystems on an AdS${}_2$ eternal black hole background using both the island and the DES prescriptions. We find an agreement between the two proposals for the island and the no-island phases, thus verifying the validity of the proposed duality. We further extend to a $T\bar{T}$ deformed AdS${}_3$ black string geometry with a cut-off and find consistent results for both phases. We finally plot and compare the Page curves for the undeformed and deformed scenarios, and discuss the modifications due to $T\bar{T}$ deformation.

26 pages, 8 figures, v2 matches with published version

References in corpus (60)

• Average Entropy of a Subsystem
• Information in Black Hole Radiation
• Replica Wormholes and the Entropy of Hawking Radiation
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The Page curve of Hawking radiation from semiclassical geometry
• The entropy of Hawking radiation
• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Holographic Dual of BCFT
• Aspects of AdS/BCFT
• Time Dependence of Hawking Radiation Entropy
• Massive Islands
• Information Transfer with a Gravitating Bath
• Cutoff AdS${}_3$ versus the $T\bar{T}$ deformation
• Entanglement islands in higher dimensions
• $T\bar{T}$ Partition Function from Topological Gravity
• Information radiation in BCFT models of black holes
• Inconsistency of Islands in Theories with Long-Range Gravity
• Holography at finite cutoff with a $T^2$ deformation
• Entanglement entropy and $T\overline{T}$ deformation
• $T\bar{T}$ and the mirage of a bulk cutoff
• Holography Beyond AdS
• Holographic BCFTs and Communicating Black Holes
• BCFT entanglement entropy at large central charge and the black hole interior
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• $T\bar{T}$ and EE, with implications for (A)dS subregion encodings
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• BCFT and Islands in Two Dimensions
• $T\bar{T}$ Deformations, Massive Gravity and Non-Critical Strings
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Sphere partition functions and cut-off AdS
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
• Conformal field theories in anti-de Sitter space
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Comments on $T\bar{T}$ double trace deformations and boundary conditions
• Defect extremal surface as the holographic counterpart of Island formula
• Comments on Holographic Entanglement Entropy in TT Deformed CFTs
• Background independent holographic dual to $T\bar{T}$ deformed CFT with large central charge in 2 dimensions
• Holographic Entanglement Entropy in Cutoff AdS
• Brane Dynamics of Holographic BCFTs
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• Random Boundary Geometry and Gravity Dual of $T\bar{T}$ Deformation
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Entanglement entropy and $T\bar{T}$ deformations beyond antipodal points from holography
• Finite Cutoff AdS${}_5$ Holography and the Generalized Gradient Flow
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
• Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations
• Partial Reduction and Cosmology at Defect Brane
• End of the World Brane meets $T\bar{T}$
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• Chern-Simons Gravity Dual of BCFT
• Mixed state entanglement in deformed field theory at finite temperature
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Entanglement Negativity and Defect Extremal Surface
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Effect of backreaction on Island, Page curve and Mutual Information