Holographic entanglement entropy and gravitational anomalies

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

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