Entanglement entropy in Galilean conformal field theories and flat holography

Abstract

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.

6pp

References in corpus (16)

• Towards a derivation of holographic entanglement entropy
• Area laws in quantum systems: mutual information and correlations
• Entanglement as a Probe of Confinement
• The BMS/GCA correspondence
• Galilean Conformal Algebras and AdS/CFT
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Flat-Space Chiral Gravity
• Notes on the BMS group in three dimensions: I. Induced representations
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Holographic entanglement entropy and gravitational anomalies
• Entanglement entropy of black holes and AdS/CFT correspondence
• Holography and Entanglement in Flat Spacetime
• Galilean Conformal Electrodynamics
• Flat space (higher spin) gravity with chemical potentials
• Topologically Massive Gravity and Galilean Conformal Algebra: A Study of Correlation Functions
• Flat Space Limit of (Higher-Spin) Cardy Formula

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