Holographic entanglement entropy and gravitational anomalies

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

doi:10.1007/jhep07(2014)114

Holographic entanglement entropy and gravitational anomalies

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

Authors

Alejandra Castro

Stephane Detournay

Dr Nabil Iqbal nabil.iqbal@durham.ac.uk
Professor

Eric Perlmutter

Abstract

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.

Citation

Castro, A., Detournay, S., Iqbal, N., & Perlmutter, E. (2014). Holographic entanglement entropy and gravitational anomalies. Journal of High Energy Physics, 2014(07), Article 114. https://doi.org/10.1007/jhep07%282014%29114

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
DOI	https://doi.org/10.1007/jhep07%282014%29114

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© 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.