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Holographic entanglement entropy and gravitational anomalies

Castro, Alejandra; Detournay, Stephane; Iqbal, Nabil; Perlmutter, Eric

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Alejandra Castro

Stephane Detournay

Eric Perlmutter


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.


Castro, A., Detournay, S., Iqbal, N., & Perlmutter, E. (2014). Holographic entanglement entropy and gravitational anomalies. Journal of High Energy Physics, 2014(07), Article 114.

Journal Article Type Article
Acceptance Date Jul 5, 2014
Online Publication Date Jul 23, 2014
Publication Date Jul 23, 2014
Deposit Date Jan 26, 2017
Publicly Available Date Jun 12, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2014
Issue 07
Article Number 114


Published Journal Article (983 Kb)

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Copyright 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.

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