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Entanglement Entropy in Flat Holography

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arxiv 1706.07552 v2 pith:GVSAP7D6 submitted 2017-06-23 hep-th

classification hep-th
keywords entropyentanglementnullflatsymmetrycalculationgeodesicgeodesics
verification ladder T0 review T1 audit T2 compute T3 formal

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BMS symmetry, which is the asymptotic symmetry at null infinity of flat spacetime, is an important input for flat holography. In this paper, we give a holographic calculation of entanglement entropy and R\'{e}nyi entropy in three dimensional Einstein gravity and Topologically Massive Gravity. The geometric picture for the entanglement entropy is the length of a spacelike geodesic which is connected to the interval at null infinity by two null geodesics. The spacelike geodesic is the fixed points of replica symmetry, and the null geodesics are along the modular flow. Our strategy is to first reformulate the Rindler method for calculating entanglement entropy in a general setup, and apply it for BMS invariant field theories, and finally extend the calculation to the bulk.

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Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  9. Gravitation in flat spacetime from entanglement

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