Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT

Abstract

We derive the geodesic equation for determining the Ryu-Takayanagi surface in $Ad{S}_3$ deformed by single trace $\mu T\bar{T}+{\epsilon }_{+}J\bar{T}+{\epsilon }_{-}T\bar{J}$ deformation for generic values of $(\mu ,{\epsilon }_{+},{\epsilon }_{-})$ for which the background is free of singularities. For generic values of ${\epsilon }_{\pm }$, Lorentz invariance is broken, and the Ryu-Takayanagi surface embeds non-trivially in time as well as spatial coordinates. We solve the geodesic equation and characterize the UV and IR behavior of the entanglement entropy and the Casini-Huerta $c$-function. We comment on various features of these observables in the $(\mu ,{\epsilon }_{+},{\epsilon }_{-})$ parameter space. We discuss the matching at leading order in small $(\mu ,{\epsilon }_{+},{\epsilon }_{-})$ expansion of the entanglement entropy between the single trace deformed holographic system and a class of double trace deformed theories where a strictly field theoretic analysis is possible. We also comment on expectation value of a large rectangular Wilson loop-like observable.

arXiv comment29 pages, 7 figures

References in corpus (31)

• Wilson loops in large N field theories
• Entanglement entropy and conformal field theory
• Towards a derivation of holographic entanglement entropy
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• Holographic Entanglement Entropy: An Overview
• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• The Gravity Dual of Renyi Entropy
• Holographic Entanglement Entropy
• Entanglement Temperature and Entanglement Entropy of Excited States
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• $T\bar{T}$ and EE, with implications for (A)dS subregion encodings
• Entanglement Beyond $\mathrm{AdS}$
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• Entanglement Entropy in Warped Conformal Field Theories
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Modifications to Holographic Entanglement Entropy in Warped CFT
• TsT, $T\bar{T}$ and black strings
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• Entanglement Entropy for Relevant and Geometric Perturbations
• Holographic entanglement entropy probes (non)locality
• $T\bar{T},J\bar{T}$, $T\bar{J}$ Partition Sums From String Theory
• Wilson loop in a $T\bar{T}$ like deformed ${\mathrm{CFT}}_2$
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Holographic entanglement entropy in nonlocal theories
• Holographic Entanglement in a Noncommutative Gauge Theory
• Heating up holography for single-trace $J\bar{T}$ deformations
• Note on Rényi entropy of 2D perturbed free fermions
• Entropic c-functions in $T\bar{T},J\bar{T},T\bar{J}$ deformations
• Thermodynamics of $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed conformal field theories

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• Solvable time-like cosets and holography beyond $AdS$
• Composite operators in $T\bar{T}$-deformed free QFTs
• $T\bar{T}$ deformations and the pp wave correspondence
• On String theory on deformed BTZ and $T\bar{T}+J\bar{T}+T\bar{J}$