In flat-space holography, the first law of entanglement entropy of a BMS-invariant field theory is shown to imply the linearized Einstein equations in the three-dimensional bulk.
Logarithmic Correction to BMSFT Entanglement Entropy
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abstract
Using Rindler method we derive the logarithmic correction to the entanglement entropy of a two dimensional BMS-invariant field theory (BMSFT). In particular, we present a general formula for extraction of the logarithmic corrections to both the thermal and the entanglement entropies. We also present a CFT formula related to the logarithmic correction of the BTZ inner horizon entropy which results in our formula after taking appropriate limit.
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First Law of Entanglement Entropy in Flat-Space Holography
In flat-space holography, the first law of entanglement entropy of a BMS-invariant field theory is shown to imply the linearized Einstein equations in the three-dimensional bulk.