Local geometry from entanglement entropy
arXiv:1704.00187
Abstract
Constructing the corresponding geometries from given entanglement entropies of a boundary QFT is a big challenge and leads to the grand project \emph{ it from Qubit}. Based on the observation that the AdS metric in the Riemann Normal Coordinates (RNC) can be summed into a closed form, we find that the AdS metric in RNC can be straightforwardly read off from the entanglement entropy of CFT. We use the finite length or finite temperature CFT as examples to demonstrate the identification.
7 pages