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arXiv · 1704.00187

Local geometry from entanglement entropy

Peng Wang·Houwen Wu·Haitang Yang
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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$_3$ metric in RNC can be straightforwardly read off from the entanglement entropy of CFT$_2$. We use the finite length or finite temperature CFT$_2$ as examples to demonstrate the identification.

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Peng Wang, Houwen Wu, Haitang Yang. 2017-04-01. Local geometry from entanglement entropy. https://arxiv.org/abs/1704.00187

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