Brane dynamics from the first law of entanglement
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Publication:2191657
DOI10.1007/JHEP03(2020)023zbMATH Open1435.83016arXiv1912.05746MaRDI QIDQ2191657
Author name not available (Why is that?)
Publication date: 25 June 2020
Published in: (Search for Journal in Brave)
Abstract: In this note, we study the first law of entanglement in a boundary conformal field theory (BCFT) dual to warped AdS cut off by a brane. Exploiting the symmetry of boundary-centered half-balls in the BCFT, and using Wald's covariant phase space formalism in the presence of boundaries, we derive constraints from the first law for a broad range of covariant bulk Lagrangians. We explicitly evaluate these constraints for Einstein gravity, and find a local equation on the brane which is precisely the Neumann condition of Takayanagi [arXiv:1105.5165] at linear order in metric perturbations. This is analogous to the derivation of Einstein's equations from the first law of entanglement entropy. This machinery should generalize to give local linearized equations of motion for higher-derivative bulk gravity with additional fields.
Full work available at URL: https://arxiv.org/abs/1912.05746
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