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arxiv: 1410.4089 · v1 · submitted 2014-10-15 · ✦ hep-th · gr-qc

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Entanglement entropy in Galilean conformal field theories and flat holography

Arjun Bagchi , Rudranil Basu , Daniel Grumiller , Max Riegler
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classification ✦ hep-th gr-qc
keywords fieldtheoriesentanglemententropyconformalflatgalileangravity
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We present the analytical calculation of entanglement entropy for a class of two dimensional field theories governed by the symmetries of the Galilean conformal algebra, thus providing a rare example of such an exact computation. These field theories are the putative holographic duals to theories of gravity in three-dimensional asymptotically flat spacetimes. We provide a check of our field theory answers by an analysis of geodesics. We also exploit the Chern-Simons formulation of three-dimensional gravity and adapt recent proposals of calculating entanglement entropy by Wilson lines in this context to find an independent confirmation of our results from holography.

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