A universal correction to higher spin entanglement entropy

Abstract

We consider conformal field theories in 1+1 dimensions with W-algebra symmetries, deformed by a chemical potential μfor the spin-three current. We show that the order μ^2 correction to the Re'nyi and entanglement entropies of a single interval in the deformed theory, on the infinite spatial line and at finite temperature, is universal. The correction is completely determined by the operator product expansion of two spin-three currents, and by the expectation values of the stress tensor, its descendants and its composites, evaluated on the n-sheeted Riemann surface branched along the interval. This explains the recently found agreement of the order μ^2 correction across distinct free field CFTs and higher spin black hole solutions holographically dual to CFTs with W-symmetry.

Version accepted for publication as Rapid Communications in Phys. Rev. D. Included an expanded discussion of the prescription used for contact terms in relevant integrals; typos corrected

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• Charged Moments in $W_3$ Higher Spin Holography
• Universal corrections to entanglement entropy of local quantum quenches
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• General Results for Higher Spin Wilson Lines and Entanglement in Vasiliev Theory
• Conformal perturbation theory and higher spin entanglement entropy on the torus
• Holographic Calculation for Large Interval Rényi Entropy at High Temperature
• 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
• Higher spin entanglement entropy at finite temperature with chemical potential
• Entanglement Entropy for Descendent Local Operators in 2D CFTs
• Renyi Entropies, the Analytic Bootstrap, and 3D Quantum Gravity at Higher Genus
• Relative entropy in higher spin holography
• Unravelling Holographic Entanglement Entropy in Higher Spin Theories
• Sine-Gordon Theory : Entanglement entropy and holography
• Entanglement in descendants