Verlinde Gravity and AdS/CFT

Abstract

Verlinde argued \cite{Verlinde:2016toy} that baryonic matter in de Sitter Universe with a Hubble constant $H$ produces a bulk contribution to the vacuum entanglement entropy $\delta S_{ent}$. Using the de Sitter temperature $T_{dS}=\frac{H}{2\pi}$, he interpreted $\delta M$ in the first law $T_{dS}\ \delta S_{ent}=-\delta M$ with the Dark Matter energy. We use standard tools of the gauge/gravity correspondence to present some evidence for the Verlinde's proposal.