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arXiv · 1405.2792

Holographic entanglement entropy and gravitational anomalies

Alejandra Castro·Stephane Detournay·Nabil Iqbal·Eric Perlmutter
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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.

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Alejandra Castro, Stephane Detournay, Nabil Iqbal, Eric Perlmutter. 2014-05-12. Holographic entanglement entropy and gravitational anomalies. https://doi.org/10.1007/jhep07(2014)114

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