Fixing the AdS$_3$ metric from the pure state entanglement entropies of CFT$_2$

• URL: http://arxiv.org/abs/1710.08448v4
• Date: Tue, 04 Mar 2025 18:06:45 GMT
• Title: Fixing the AdS$_3$ metric from the pure state entanglement entropies of CFT$_2$
• Authors: Peng Wang, Houwen Wu, Haitang Yang,
• Abstract summary: We identify the pure state UV and IR entanglement entropies of a perturbed CFT$$ with geodesic lengths in the bulk.<n>Our derivations hold in both static and covariant scenarios.
• Score: 3.173866119165114
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, based on RT formula, by identifying the pure state UV and IR entanglement entropies of a perturbed CFT$_2$ with geodesic lengths in the bulk, we demonstrate that the dual geometry is uniquely determined to be asymptotically AdS$_3$. The pure AdS$_3$ geometry is recovered by taking the massless limit of the system. Our derivations hold in both static and covariant scenarios.

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