Publication details for Nabil IqbalCastro, Alejandra, Detournay, Stephane, Iqbal, Nabil & Perlmutter, Eric (2014). Holographic entanglement entropy and gravitational anomalies. Journal of High Energy Physics 2014(07): 114.
- Publication type: Journal Article
- ISSN/ISBN: 1029-8479
- DOI: 10.1007/JHEP07(2014)114
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
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.