On one-loop entanglement entropy of two short intervals from OPE of twist operators

Abstract

We investigate the one-loop entanglement entropy of two short intervals with small cross ratio $x$ on a complex plane in two-dimensional conformal field theory (CFT) using operator product expansion of twist operators. We focus on the one-loop entanglement entropy instead of the general order $n$ Rényi entropy, and this makes the calculation much easier. We consider the contributions of stress tensor to order $x^{10}$, contributions of $W_3$ operator to order $x^{12}$, and contributions of $W_4$ operator to order $x^{14}$. The CFT results agree with the ones in gravity.

arXiv commentV1, 27 pages; V2, 27 pages, typos corrected, references added, published version

References in corpus (42)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Aspects of Holographic Entanglement Entropy
• Geometric and Renormalized Entropy in Conformal Field Theory
• On Geometric Entropy
• Quantum corrections to holographic entanglement entropy
• Holographic Entanglement Entropy: An Overview
• W-symmetry in Conformal Field Theory
• Entanglement Renyi entropies in holographic theories
• Quantum Gravity Partition Functions in Three Dimensions
• 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
• Entanglement entropy of two disjoint intervals in conformal field theory
• Entanglement entropy of two disjoint intervals in conformal field theory II
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• Entanglement Entropy at Large Central Charge
• One-loop Partition Functions of 3D Gravity
• Entanglement Entropy from a Holographic Viewpoint
• Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension
• Holographic entanglement beyond classical gravity
• The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
• Entanglement Entropy and Twist Fields
• On short interval expansion of Rényi entropy
• Holographic Rényi entropy for CFT with $W$ symmetry
• Universal Thermal Corrections to Single Interval Entanglement Entropy for Conformal Field Theories
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$
• Single Interval Rényi Entropy At Low Temperature
• Virasoro vacuum block at next-to-leading order in the heavy-light limit
• Holographic Calculation for Large Interval Rényi Entropy at High Temperature
• On the next-to-leading holographic entanglement entropy in $Ad{S}_3/CF{T}_2$
• Holographic Rényi entropy in AdS${}_3$/LCFT${}_2$ correspondence
• Universal relation between thermal entropy and entanglement entropy in CFT
• Holographic Rényi Entropy of Single Interval on Torus: with W symmetry
• Partition Functions of Three-Dimensional Pure Gravity
• Large Interval Limit of Rényi Entropy At High Temperature
• One loop partition function in AdS_3/CFT_2
• Higher spin entanglement entropy at finite temperature with chemical potential
• Holographic Rényi entropy for two-dimensional N=(1,1) superconformal field theory
• Renyi Entropies, the Analytic Bootstrap, and 3D Quantum Gravity at Higher Genus

Cited by in corpus (20)

• Symmetry resolved relative entropies and distances in conformal field theory
• Entanglement entropy of two disjoint intervals and the recursion formula for conformal blocks
• Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis
• Thermality and excited state Rényi entropy in two-dimensional CFT
• Subsystem trace distance in low-lying states of $(1+1)$-dimensional conformal field theories
• Short interval expansion of Rényi entropy on torus
• Note on ETH of descendant states in 2D CFT
• Distinguishing Black Hole Microstates using Holevo Information
• Rényi Mutual Information in Holographic Warped CFTs
• Higher spin entanglement entropy at finite temperature with chemical potential
• Rényi Mutual Information for Free Scalar in Even Dimensions
• On the Mutual Information in Conformal Field Theory
• Rényi entanglement entropies for the compactified massless boson with open boundary conditions
• Corrections to holographic entanglement plateau
• Holographic Rényi entropy for two-dimensional $\mathcal{N}$=(2,2) superconformal field theory
• Holographic entanglement properties in the QCD phase diagram from EMD models
• Holographic Mutual Information of Two Disjoint Spheres
• The operator algebra of cyclic orbifolds
• Note on non-vacuum conformal family contributions to Rényi entropy in two-dimensional CFT
• $2$-Rényi CCNR Negativity of Compact Boson for multiple disjoint intervals