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Corner contributions to holographic entanglement entropy in AdS4/BCFT3
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We study the holographic entanglement entropy of spatial regions with corners in the AdS4/BCFT3 correspondence by considering three dimensional boundary conformal field theories whose boundary is a timelike plane. We compute analytically the corner function corresponding to an infinite wedge having one edge on the boundary. A relation between this corner function and the holographic one point function of the stress tensor is observed. An analytic expression for the corner function of an infinite wedge having only its tip on the boundary is also provided. This formula requires to find the global minimum among two extrema of the area functional. The corresponding critical configurations of corners are studied. The results have been checked against a numerical analysis performed by computing the area of the minimal surfaces anchored to some finite domains containing corners.
Forward citations
Cited by 2 Pith papers
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Finite entropy sums in quantum field theory
Every finite entropy sum in a local QFT is a linear combination of complement entropy differences, mutual informations of non-adjacent regions, and tripartite informations.
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The entropy of radiation for local quenches in higher dimensions
For local quenches in d>2 CFTs, the excess entanglement entropy of radiation grows as ξ^{d/2} at early and late times, obeys an all-time relative-entropy bound, and the holographic model produces a Page-like curve.
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