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Higher spin entanglement entropy from CFT

Shouvik Datta, Justin R. David, Michael Ferlaino, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2014, Issue: 6

Swansea University Author: Prem Kumar Orcid Logo

DOI (Published version): 10.1007/JHEP06(2014)096

Abstract

We consider free fermion and free boson CFTs in two dimensions, de- formed by a chemical potential μ 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 μ in each of the...

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Published in: Journal of High Energy Physics
Published: 2014
URI: https://cronfa.swan.ac.uk/Record/cronfa17292
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Abstract: We consider free fermion and free boson CFTs in two dimensions, de- formed by a chemical potential μ 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 μ 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) × SL(3, R) Chern- Simons theory. Our result suggests that the order μ2 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 AdS3.
College: Faculty of Science and Engineering
Issue: 6