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

References in corpus (3)

• 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
• Unusual Corrections to Scaling in Entanglement Entropy

Cited by in corpus (6)

• Bulk Emergence and the RG Flow of Entanglement Entropy
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Single Interval Rényi Entropy At Low Temperature
• Conformal perturbation theory and higher spin entanglement entropy on the torus
• Higher Spin Entanglement Entropy
• Relative entropy in higher spin holography