The first law of entanglement, applied to a putative holographic dual of Minkowski spacetime, is shown to imply the linearized gravitational equations of motion in 3d and 4d, modulo assumed boundary stress-tensor conditions.
Essential points of conformal vector fields
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abstract
For a conformal vector field $\xi$ on a Riemannian manifold, we say that a point is essential if there is no local metric in the conformal class for which $\xi$ is Killing. We show that the only essential points are isolated zeros of $\xi$. As an application, we show that every connected component of the zero set of $\xi$ is totally umbilical.
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hep-th 1years
2019 1verdicts
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Gravitation in flat spacetime from entanglement
The first law of entanglement, applied to a putative holographic dual of Minkowski spacetime, is shown to imply the linearized gravitational equations of motion in 3d and 4d, modulo assumed boundary stress-tensor conditions.