Comments on Holographic Entanglement Entropy in TT Deformed CFTs

Abstract

The Ryu-Takayanagi (RT) formula has been a key ingredient in our understanding of holography. Recent work on TT deformations has also boosted our understanding of holography away from the conformal boundary of AdS. In this short note, we aim to refine some recent work demonstrating the success of the RT formula in TT deformed theories. We emphasize general arguments that justify the use of the RT formula in general holographic theories that obey a GKPW-like dictionary. In doing so, we clarify subtleties related to holographic counterterms and discuss the implications for holography in general spacetimes.

arXiv comment5 pages

References in corpus (29)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Stress Tensor for Anti-de Sitter Gravity
• Aspects of Holographic Entanglement Entropy
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• A Covariant Holographic Entanglement Entropy Proposal
• Lecture Notes on Holographic Renormalization
• Generalized gravitational entropy
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Quantum corrections to holographic entanglement entropy
• The Gravity Dual of Renyi Entropy
• Holographic Entanglement Entropy for General Higher Derivative Gravity
• A refinement of entanglement entropy and the number of degrees of freedom
• Surface/State Correspondence as a Generalized Holography
• Holography at finite cutoff with a $T^2$ deformation
• Entanglement entropy and $T\overline{T}$ deformation
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• Entanglement Beyond $\mathrm{AdS}$
• Some Calculable Contributions to Holographic Entanglement Entropy
• Sphere partition functions and cut-off AdS
• Renormalized entanglement entropy
• A Holographic Entanglement Entropy Conjecture for General Spacetimes
• Toward a Holographic Theory for General Spacetimes
• Pulling the Boundary into the Bulk
• Holographic Entanglement Entropy in Cutoff AdS
• Spacetime from Unentanglement
• Generalized gravitational entropy without replica symmetry
• Classical Spacetimes as Amplified Information in Holographic Quantum Theories

Cited by in corpus (33)

• $T\bar{T}$ and the mirage of a bulk cutoff
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• $T\bar{T}$ and EE, with implications for (A)dS subregion encodings
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Gravitational path integral from the $T^2$ deformation
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• Surface/State correspondence and $T\overline{T}$ deformation
• Heating up holography for single-trace $J\bar{T}$ deformations
• Coarse-Graining Holographic States: A Semiclassical Flow in General Spacetimes
• Quantum corrections to finite radius holography and holographic entanglement entropy
• Extremal surfaces in glue-on AdS/$T\bar{T}$ holography
• Note on the nonrelativistic $T\bar{T}$ deformation
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• Comments on holographic entanglements in cutoff AdS
• Exploring causality in braneworld/cutoff holography via holographic scattering
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Recovering Infalling Information via String Spreading
• Mixed state entanglement in deformed field theory at finite temperature
• Non-equilibrium dynamics in Holography
• Holographic n-partite Information in Hyperscaling Violating Geometry
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• On the symmetry of $T\bar{T}$ deformed CFT
• Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• General solutions in Chern-Simons gravity and $T\bar{T}$-deformations
• On the Spread of Entanglement at Finite Cutoff