Higher spin entanglement entropy from CFT

Abstract

We consider free fermion and free boson CFTs in two dimensions, deformed by a chemical potential $\mu$ for the spin-three current. For the CFT on the infinite spatial line, we calculate the finite temperature entanglement entropy of a single interval perturbatively to second order in $\mu$ in each of the theories. We find that the result in each case is given by the same non-trivial function of temperature and interval length. Remarkably, we further obtain the same formula using a recent Wilson line proposal for the holographic entanglement entropy, in holomorphically factorized form, associated to the spin-three black hole in SL(3, R) x SL(3, R) Chern-Simons theory. Our result suggests that the order ${\mu }^2$ correction to the entanglement entropy may be universal for W-algebra CFTs with spin-three chemical potential, and constitutes a check of the holographic entanglement entropy proposal for higher spin theories of gravity in AdS_3.

47 pages, uses latex. Replaced with version to appear in JHEP. Minor changes include clarification of one-point function contributions, and a clarification of the possible relation between 'canonical' and 'holomorphic' entanglement entropies

References in corpus (7)

• 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 of low-energy excitations in Conformal Field Theory
• Higher Spins in AdS and Twistorial Holography
• Unusual Corrections to Scaling in Entanglement Entropy
• Holographic Rényi entropy for CFT with $W$ symmetry
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$

Cited by in corpus (36)

• Bounding the Space of Holographic CFTs with Chaos
• Entanglement, Holography and Causal Diamonds
• Bulk Emergence and the RG Flow of Entanglement Entropy
• Partition Functions and Casimir Energies in Higher Spin AdS_{d+1}/CFT_d
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Higher Spin Entanglement and W_N Conformal Blocks
• Higher Spin Black Holes with Soft Hair
• Charged Moments in $W_3$ Higher Spin Holography
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis
• Universal corrections to entanglement entropy of local quantum quenches
• A universal correction to higher spin entanglement entropy
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• Conformal perturbation theory and higher spin entanglement entropy on the torus
• General Results for Higher Spin Wilson Lines and Entanglement in Vasiliev Theory
• Holographic Calculation for Large Interval Rényi Entropy at High Temperature
• Note on Rényi entropy of 2D perturbed free fermions
• Warped Black Holes in Lower-Spin Gravity
• Conformal Perturbation Theory for Twisted Fields
• Higher Spin Entanglement Entropy
• Holographic Rényi Entropy of Single Interval on Torus: with W symmetry
• Large Interval Limit of Rényi Entropy At High Temperature
• Metric- and frame-like higher-spin gauge theories in three dimensions
• Eternal Higher Spin Black Holes: a Thermofield Interpretation
• A new spin on entanglement entropy
• Entanglement entropy and differential entropy for massive flavors
• Local quenches and quantum chaos from higher spin perturbations
• Higher spin entanglement entropy at finite temperature with chemical potential
• On entanglement entropy in 't Hooft model
• Chern-Simons Gravity Dual of BCFT
• Relative entropy in higher spin holography
• Renyi divergences from Euclidean quenches
• Chaos bound in Bershadsky-Polyakov theory
• Sine-Gordon Theory : Entanglement entropy and holography
• Entanglement Entropy with a Time-dependent Hamiltonian
• Entanglement in descendants