Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs

Abstract

In this paper, we regard the $T\bar{T}$/$J\bar{T}$-deformed CFTs as perturbation theories and calculate the first order correction of the correlation functions due to the $T\bar{T}$/$J\bar{T}$-deformation. As applications, we study the Rényi entanglement entropy of excited state in the $T\bar{T}$/$J\bar{T}$-deformed two-dimensional CFTs. We find, up to the perturbation first order of the deformation, the Rényi entanglement entropy of locally excited states will acquire a non-trivial time dependence. The excess of the Rényi entanglement entropy of locally excited state will also be dramatically changed up to order $\mathcal{O}(c)$. Furthermore, the out of time ordered correlation function is investigated to confirm that the $T\bar{T}$/$J\bar{T}$-deformations do not change the maximal chaotic behavior of holographic CFTs up to the first order of the deformations.

1+42 pages, Typos corrected, published version

References in corpus (25)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Solving the Simplest Theory of Quantum Gravity
• Quantum Dimension as Entanglement Entropy in 2D CFTs
• Quantum Entanglement of Localized Excited States at Finite Temperature
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• $T\overline{T}$ in AdS${}_2$ and Quantum Mechanics
• Entanglement of Local Operators in large N CFTs
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Sphere partition functions and cut-off AdS
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
• On correlation functions in $J\bar{T}$-deformed CFTs
• Rényi entropy of locally excited states with thermal and boundary effect in 2D CFTs
• $T\bar{T}$ Flows and (2,2) Supersymmetry
• 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
• Double Local Quenches in 2D CFTs and Gravitational Force
• Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis
• Heating up holography for single-trace $J\bar{T}$ deformations
• Note on Rényi entropy of 2D perturbed free fermions
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• The complex sinh-Gordon model: form factors of descendant operators and current-current perturbations

Cited by in corpus (55)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Hamiltonian deformations in quantum mechanics, $T\bar{T}$, and SYK
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
• Field Theory of Interacting Boundary Gravitons
• A universe field theory for JT gravity
• $T\bar{T}$-deformed conformal field theories out of equilibrium
• 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
• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Conformal Field Theories
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
• $T\bar{T}$-flow effects on torus partition functions
• Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations
• $T\bar{T}$ flow as characteristic flows
• Building Tensor Networks for Holographic States
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy
• A definition of primary operators in $J\bar{T}$-deformed CFTs
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS${}_3$ gravity with mixed boundary conditions
• $T\bar{T}$ deformation on multiquantum mechanics and regenesis
• Krylov complexity of deformed conformal field theories
• Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT
• Surface charges in Chern-Simons gravity with $T\bar{T}$ deformation
• $T\bar{T}$ deformation of classical Liouville field theory
• Entanglement Entropy and Modular Hamiltonian of free fermion with deformations on a torus
• $T\bar{T}$ deformed soft theorem
• From locality to irregularity: Introducing local quenches in massive scalar field theory
• Exploring causality in braneworld/cutoff holography via holographic scattering
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• $T\overline{T}$-deformed free energy of the Airy model
• Irrelevant and marginal deformed BMS field theories
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• One-loop partition functions in $T\overline{T}$-deformed AdS${}_3$
• Asymptotic Symmetries in the TsT/$T\bar{T}$ Correspondence
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Mixed state entanglement in deformed field theory at finite temperature
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Theories on the Torus
• Holographic n-partite Information in Hyperscaling Violating Geometry
• Data-driven analyses and model-independent fits for present $b\to s\ell \ell$ results
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• Nonperturbative aspects of two-dimensional $T\bar{T}$-deformed scalar theory from functional renormalization group
• Loop corrections versus marginal deformation in celestial holography
• On SYK traversable wormhole with imperfectly correlated disorders
• Entanglement, defects, and $T\bar{T}$ on a black hole background