2014/05/31 by Shouvik Datta, Justin R. David, Michael Ferlaino +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cauchy stress tensor #Central charge #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Geometry #Homogeneous space #Mathematical physics #Mathematics #Operator product expansion #Physics #Pure mathematics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Riemann surface #Spin (aerodynamics) #Tensor product #hep-th
paper · pdf · doi:10.1103/physrevd.90.041903
published as Phys. Rev. D 90, 041903 (2014) · 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
arxiv created 2014/07/29 · openalex publication_date 2014/08/08 · arxiv updated 2014/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider conformal field theories in 1+1 dimensions with W-algebra symmetries, deformed by a chemical potential \ensuremathμ for the spin-three current. We show that the order \ensuremathμ2 correction to the R'enyi 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 \ensuremathμ2 correction across distinct free field CFTs and higher spin black hole solutions holographically dual to CFTs with W symmetry.