Entanglement of Local Operators in large N CFTs

Abstract

We study Renyi and von-Neumann entanglement entropy of excited states created by local operators in large N (or large central charge) CFTs. First we point that a naive large N expansion can break down for the von-Neumann entanglement entropy, while it does not for the Renyi entanglement entropy. This happens even for the excited states in free Yang-Mills theories. Next, we analyze strongly coupled large N CFTs from both field theoretic and holographic viewpoints. We find that the Renyi entanglement entropy of the excited state produced by a local operator, grows logarithmically under its time evolution and its coefficient is proportional to the conformal dimension of the local operator.

arXiv comment1+44 pages, 5 figures, v2 references added, table of contents added

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• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
• Higher Spin Entanglement and W_N Conformal Blocks
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Scrambling time from local perturbations of the eternal BTZ black hole
• Holographic Quantum Circuits from Splitting/Joining Local Quenches
• Light Cone Bootstrap in General 2D CFTs and Entanglement from Light Cone Singularity
• Schwinger Effect and Entanglement Entropy in Confining Geometries
• Scrambling without chaos in RCFT
• Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
• Rényi entropy of locally excited states with thermal and boundary effect in 2D CFTs
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• Entanglement constant for conformal families
• Double Local Quenches in 2D CFTs and Gravitational Force
• Excited state entanglement in one dimensional quantum critical systems: Extensivity and the role of microscopic details
• Bulk entanglement entropy in perturbative excited states
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• Entanglement and chaos in warped conformal field theories
• Excitation Entanglement Entropy in 2d Conformal Field Theories
• Scattering effect on entanglement propagation in RCFTs
• Entanglement and geometry from subalgebras of the Virasoro algebra
• On the real-time evolution of pseudo-entropy in 2d CFTs
• Entanglement entropy in (1+1)D CFTs with multiple local excitations
• Local quenches, bulk entanglement entropy and a unitary Page curve
• Holographic entanglement entropy in the nonconformal medium
• Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
• New Properties of Large-$c$ Conformal Blocks from Recursion Relation
• Evolution of Entanglement Entropy in Orbifold CFTs
• Entanglement evolution across a conformal interface
• Capacity of Entanglement in Local Operators
• Out-of-Time-Ordered Correlators in $(T^2{)}^n/{\mathbb{Z}}_n$
• Entanglement Entropy after Double-Excitation as Interaction Measure
• Entanglement Entropy of Disjoint Regions in Excited States : An Operator Method
• Thermodynamic law from the entanglement entropy bound
• Subsystem distance after a local operator quench
• Gravitational back-reaction is magical
• Logarithmic Corrections to the Entanglement Entropy
• Quantum dimensions from local operator excitations in the Ising model
• One loop partition function in AdS_3/CFT_2
• Detecting topology change via correlations and entanglement from gauge/gravity correspondence
• Pseudo entropy under joining local quenches
• Holographic Entanglement Entropy of Local Quenches in AdS${}_4$/CFT${}_3$: A Finite-Element Approach
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