Holographic Entanglement Entropy For a Large Class of States in 2D CFT

Abstract

In this paper, we study the entanglement entropy in a large class of states of two-dimensional conformal field theory in the the large central charge limit. This class of states includes the states created by the insertion of a finite number of local heavy operators. By using the monodromy analysis, we obtain the leading order entanglement entropy for the general state. We show that it is exactly captured by the Ryu-Takayanagi formula, by using the Wilsonian line prescription in the Chern-Simons formulation of the AdS${}_3$ gravity.

18 pages: References added;Title slightly modified, more clarification

References in corpus (15)

• Towards a derivation of holographic entanglement entropy
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Entanglement Entropy at Large Central Charge
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
• Quantum Dimension as Entanglement Entropy in 2D CFTs
• Quantum Entanglement of Localized Excited States at Finite Temperature
• Notes on Quantum Entanglement of Local Operators
• Single Interval Rényi Entropy At Low Temperature
• Excitation Entanglement Entropy in 2d Conformal Field Theories
• Entanglement entropy from one-point functions in holographic states
• Higher spin entanglement entropy at finite temperature with chemical potential

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• Leading Multi-Stress Tensors and Conformal Bootstrap
• Holographic Description of 2D Conformal Block in Semi-classical Limit
• Conformal bootstrap to Rényi entropy in 2D Liouville and super-Liouville CFTs
• Heavy-light Bootstrap from Lorentzian Inversion Formula
• Quantum dimensions from local operator excitations in the Ising model
• Multi-stress tensors and next-to-leading singularities in the Regge limit
• Discrete Gravity on Random Tensor Network and Holographic Rényi Entropy
• CFT correlators, $\mathcal{W}$-algebras and Generalized Catalan Numbers
• On the universality of late-time correlators in semi-classical 2d CFTs
• Classical Liouville Action and Uniformization of Orbifold Riemann Surfaces
• Entanglement Entropy and Conformal Collider Physics in 2D CFTs
• Generalized monodromy method in gauge/gravity duality