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Higher spin entanglement entropy from CFT

Datta, Shouvik and David, Justin R and Ferlaino, Michael and Kumar, Prem S (2014) Higher spin entanglement entropy from CFT. In: JOURNAL OF HIGH ENERGY PHYSICS (6).

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Official 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 mu 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 mu 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 mu(2) 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).

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 20 Aug 2014 11:02
Last Modified: 20 Aug 2014 11:02
URI: http://eprints.iisc.ac.in/id/eprint/49597

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