Local geometry from entanglement entropy
Abstract
Constructing the corresponding geometries from given entanglement entropies of a boundary QFT is a big challenge and leads to the grand project 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 AdS3 metric in RNC can be straightforwardly read off from the entanglement entropy of CFT2. We use the finite length or finite temperature CFT2 as examples to demonstrate the identification.
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