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Entanglement entropy of spherical domains in anti-de Sitter space ↗
It was proposed by Ryu and Takayanagi that the entanglement entropy in conformal field theory (CFT) is related through AdS/CFT correspondence to the area of a minimal surface in the bulk. We apply this holographic geometrical method of calculation of the entanglement entropy to study the vacuum case…
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It was proposed by Ryu and Takayanagi that the entanglement entropy in conformal field theory (CFT) is related through AdS/CFT correspondence to the area of a minimal surface in the bulk. We apply this holographic geometrical method of calculation of the entanglement entropy to study the vacuum case of CFT which is holographically dual to empty anti-de Sitter (AdS) spacetime. We present all possible minimal surfaces spanned on one or two spherical boundaries at AdS infinity. We give exact analytical expressions for regularized areas of these surfaces and identify finite renormalized quantities.