$T\bar{T}$ and EE, with implications for (A)dS subregion encodings

Abstract

We initiate a study of subregion dualities, entropy, and redundant encoding of bulk points in holographic theories deformed by $T\bar{T}$ and its generalizations. This includes both cut off versions of Anti de Sitter spacetime, as well as the generalization to bulk de Sitter spacetime, for which we introduce two additional examples capturing different patches of the bulk and incorporating the second branch of the square root dressed energy formula. We provide new calculations of entanglement entropy (EE) for more general divisions of the system than the symmetric ones previously available. We find precise agreement between the gravity side and deformed-CFT side results to all orders in the deformation parameter at large central charge. An analysis of the fate of strong subadditivity for relatively boosted regions indicates nonlocality reminiscent of string theory. We introduce the structure of operator algebras in these systems. The causal and entanglement wedges generalize to appropriate deformed theories but exhibit qualitatively new behaviors, e.g. the causal wedge may exceed the entanglement wedge. This leads to subtleties which we express in terms of the Hamiltonian and modular Hamiltonian evolution. Finally, we exhibit redundant encoding of bulk points, including the cosmological case.

53 pages, 8 figures. v3: comments added

References in corpus (72)

• Quantum Computing in the NISQ era and beyond
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Covariant Holographic Entanglement Entropy Proposal
• Entanglement entropy and conformal field theory
• Average Entropy of a Subsystem
• Towards a derivation of holographic entanglement entropy
• The dS/CFT Correspondence
• Generalized gravitational entropy
• Replica Wormholes and the Entropy of Hawking Radiation
• Quantum corrections to holographic entanglement entropy
• Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• Bulk Locality and Quantum Error Correction in AdS/CFT
• The Page curve of Hawking radiation from semiclassical geometry
• On space of integrable quantum field theories
• Notes on Some Entanglement Properties of Quantum Field Theory
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
• Relative entropy equals bulk relative entropy
• Holographic representation of local bulk operators
• Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
• Causality & holographic entanglement entropy
• On the RG running of the entanglement entropy of a circle
• The Ryu-Takayanagi Formula from Quantum Error Correction
• Structure of states which satisfy strong subadditivity of quantum entropy with equality
• Projectors, Shadows, and Conformal Blocks
• Local bulk operators in AdS/CFT: a boundary view of horizons and locality
• Inflation and the dS/CFT Correspondence
• Solving the Simplest Theory of Quantum Gravity
• On the Description of the Riemannian Geometry in the Presence of Conical Defects
• Cutoff AdS${}_3$ versus the $T\bar{T}$ deformation
• Bulk locality from modular flow
• Islands outside the horizon
• Causal Holographic Information
• Strings, Black Holes and Lorentz Contraction
• Holography at finite cutoff with a $T^2$ deformation
• De Sitter Musings
• The dS/dS Correspondence
• Entanglement entropy and $T\overline{T}$ deformation
• Modular Hamiltonians on the null plane and the Markov property of the vacuum state
• Black Hole Microstate Cosmology
• Micromanaging de Sitter holography
• De Sitter Holography and Entanglement Entropy
• Simple holographic models of black hole evaporation
• $T\overline{T}$ in AdS${}_2$ and Quantum Mechanics
• Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
• Infrared Realization of dS${}_2$ in AdS${}_2$
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• Harmonic Analysis and Mean Field Theory
• Entanglement Beyond $\mathrm{AdS}$
• Null Geodesics, Local CFT Operators and AdS/CFT for Subregions
• Expectation value of composite field $T\bar{T}$ in two-dimensional quantum field theory
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Path Integral Optimization for $T\bar{T}$ Deformation
• A Holographic Entanglement Entropy Conjecture for General Spacetimes
• Comments on Holographic Entanglement Entropy in TT Deformed CFTs
• Hologravity
• Toward a Holographic Theory for General Spacetimes
• Code properties from holographic geometries
• Pulling the Boundary into the Bulk
• Causality and the AdS Dirichlet problem
• Entropy, Entanglement and Swampland Bounds in DS/dS
• On the stability of gravity with Dirichlet walls
• Holographic Entanglement Entropy in Cutoff AdS
• Entanglement Wedge Reconstruction and the Information Paradox
• FRW solutions and holography from uplifted AdS/CFT
• Entanglement entropy and $T\bar{T}$ deformations beyond antipodal points from holography
• A $T\bar{T}$ Deformation for Curved Spacetimes from 3d Gravity
• De Sitter-invariant States from Holography
• Varying dilaton as a tracer of classical string interactions
• Long-Range Nonlocality in Six-Point String Scattering: simulation of black hole infallers
• Simulating quantum field theory with a quantum computer

Cited by in corpus (60)

• An Information Paradox and Its Resolution in de Sitter Holography
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Holographic tensor network models and quantum error correction: A topical review
• de Sitter Microstates from $T\bar{T}+{\Lambda }_2$ and the Hawking-Page Transition
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• Holographic Complexity and de Sitter Space
• Swing surfaces and holographic entanglement beyond AdS/CFT
• Causal Structures and Nonlocality in Double Holography
• Hyperbolic compactification of M-theory and de Sitter quantum gravity
• Quantum complexity in gravity, quantum field theory, and quantum information science
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Notes on Matrix Models
• $T\bar{T}+{\Lambda }_2$ Deformed CFT on the Stretched dS${}_3$ Horizon
• Field Theory of Interacting Boundary Gravitons
• Cutoff $\mathrm{Ad}{\mathrm{S}}_3$ versus $\mathrm{T}\bar{\mathrm{T}}$ $\mathrm{CF}{\mathrm{T}}_2$ in the large central charge sector: correlators of energy-momentum tensor
• The Cosmological Switchback Effect
• On de Sitter future-past extremal surfaces and the "entanglement wedge"
• Scrambling and decoding the charged quantum information
• Coarse-Graining Holographic States: A Semiclassical Flow in General Spacetimes
• Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
• Fix the dual geometries of $T\bar{T}$ deformed CFT${}_2$ and highly excited states of CFT${}_2$
• Building Tensor Networks for Holographic States
• Extremal surfaces in glue-on AdS/$T\bar{T}$ holography
• Note on the nonrelativistic $T\bar{T}$ deformation
• A Path Integral Realization of Joint $J\bar{T}$, $T\bar{J}$ and $T\bar{T}$ Flows
• Entropic c-functions in $T\bar{T},J\bar{T},T\bar{J}$ deformations
• $T\bar{T}$ deformed YM${}_2$ on general backgrounds from an integral transformation
• Flat space gravity at finite cutoff
• Relating the curvature of De Sitter Universe to Open Quantum Lamb Shift Spectroscopy
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• End of the World Brane meets $T\bar{T}$
• Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT
• Flows in the Space of Interacting Chiral Boson Theories
• Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
• $T\bar{T}+{\Lambda }_2$ from a 2d gravity path integral
• Entanglement distillation toward minimal bond cut surface in tensor networks
• The Cosmological Switchback Effect II
• On Quantum Simulation Of Cosmic Inflation
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Exploring causality in braneworld/cutoff holography via holographic scattering
• $T\overline{T}$-deformed free energy of the Airy model
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Non-equilibrium dynamics in Holography
• Holographic Entanglement Entropy in $T\bar{T}$-deformed CFTs
• Recovering Infalling Information via String Spreading
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Mixed state entanglement in deformed field theory at finite temperature
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Holographic Entanglement Entropy in the FLRW Universe
• Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• Entanglement and Chaos in De Sitter Holography: An SYK Example
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• A substrate for brane shells from $T\bar{T}$
• $T\bar{T}$ deformed scattering happens within matrices
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff
• On the Spread of Entanglement at Finite Cutoff