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arXiv · 1608.06292

Holographic equivalence between the first law of entanglement entropy and the linearized gravitational equations

Benjamin Mosk
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Abstract

We use the intertwining properties of integral transformations to provide a compact proof of the holographic equivalence between the first law of entanglement entropy and the linearized gravitational equations, in the context of the AdS/CFT-correspondence. We build upon the framework developed by Faulkner et al. [1] using the the Wald formalism, and exploit the symmetries of the vacuum modular Hamiltonian of ball-shaped boundary regions.

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Benjamin Mosk. 2016-08-22. Holographic equivalence between the first law of entanglement entropy and the linearized gravitational equations. https://doi.org/10.1103/physrevd.94.126001

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