Higher spin entanglement entropy from CFT
Abstract
We consider free fermion and free boson CFTs in two dimensions, deformed by a chemical potential 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 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 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.
Cite
@article{arxiv.1402.0007,
title = {Higher spin entanglement entropy from CFT},
author = {Shouvik Datta and Justin R. David and Michael Ferlaino and S. Prem Kumar},
journal= {arXiv preprint arXiv:1402.0007},
year = {2015}
}
Comments
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