Higher spin entanglement entropy from CFT

Datta, Shouvik ; David, Justin R. ; Ferlaino, Michael ; Kumar, S. Prem (2014) Higher spin entanglement entropy from CFT Journal of High Energy Physics, 2014 (6). ISSN 1029-8479

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Official URL: http://doi.org/10.1007/JHEP06(2014)096

Related URL: http://dx.doi.org/10.1007/JHEP06(2014)096


We consider free fermion and free boson CFTs in two dimensions, deformed 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 μ 2 correction to the entanglement entropy may be universal for W-algebra CFTs with spinthree chemical potential, and constitutes a check of the holographic entanglement entropy proposal for higher spin theories of gravity in AdS3.

Item Type:Article
Source:Copyright of this article belongs to Springer Nature Switzerland AG.
Keywords:Higher Spin Gravity; Field Theories in Lower Dimensions; Gauge-gravity correspondence; Black Holes.
ID Code:117017
Deposited On:14 Apr 2021 08:30
Last Modified:14 Apr 2021 08:30

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