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 \mu for the spin-three current. We show that the order \mu^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 \mu^2 correction across distinct free field CFTs and higher spin black hole solutions holographically dual to CFTs with W-symmetry.
Cite
@article{arxiv.1405.0015,
title = {A universal correction to higher spin entanglement entropy},
author = {Shouvik Datta and Justin R. David and Michael Ferlaino and S. Prem Kumar},
journal= {arXiv preprint arXiv:1405.0015},
year = {2014}
}
Comments
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