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

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.

arXiv commentV4: 15 pages, 3 figures, published version

References in corpus (13)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• The World as a Hologram
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Aspects of Holographic Entanglement Entropy
• A Covariant Holographic Entanglement Entropy Proposal
• Cool horizons for entangled black holes
• Entanglement Renormalization and Holography
• The motion of point particles in curved spacetime
• Gravitation from Entanglement in Holographic CFTs
• A refinement of entanglement entropy and the number of degrees of freedom
• A Stereoscopic Look into the Bulk
• Entanglement, Holography and Causal Diamonds

Cited by in corpus (1)

• How Einstein's Equation Emerges From CFT${}_2$