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Holographic entanglement entropy and gravitational anomalies.

Castro, Alejandra and Detournay, Stephane and Iqbal, Nabil and Perlmutter, Eric (2014) 'Holographic entanglement entropy and gravitational anomalies.', Journal of high energy physics., 2014 (07). p. 114.


We study entanglement entropy in two-dimensional conformal field theories with a gravitational anomaly. In theories with gravity duals, this anomaly is holographically represented by a gravitational Chern-Simons term in the bulk action. We show that the anomaly broadens the Ryu-Takayanagi minimal worldline into a ribbon, and that the anomalous contribution to the CFT entanglement entropy is given by the twist in this ribbon. The entanglement functional may also be interpreted as the worldline action for a spinning particle — that is, an anyon — in three-dimensional curved spacetime. We demonstrate that the minimization of this action results in the Mathisson-Papapetrou-Dixon equations of motion for a spinning particle in three dimensions. We work out several simple examples and demonstrate agreement with CFT calculations.

Item Type:Article
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Publisher statement:© The Author(s) 2014 Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:05 July 2014
Date deposited:12 June 2018
Date of first online publication:23 July 2014
Date first made open access:No date available

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