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Holographic entanglement entropy and gravitational anomalies

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arxiv 1405.2792 v1 pith:RGDZDH6I submitted 2014-05-12 hep-th

Alejandra Castro , Stephane Detournay , Nabil Iqbal , Eric Perlmutter This is my paper
classification hep-th
keywords entanglementactionanomalyentropygravitationaldemonstrateparticleribbon
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

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