Holographic BCFTs and Communicating Black Holes
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In this paper, the entanglement entropy of a bipartition of the BCFT, on both the gravity side and the field theory side, was derived for two braneworld black holes coupled to each other through a common bath.Abstract:
We study the AdS/BCFT duality between two-dimensional conformal field theories with two boundaries and three-dimensional anti-de Sitter space with two Karch-Randall branes. We compute the entanglement entropy of a bipartition of the BCFT, on both the gravity side and the field theory side. At finite temperature this entanglement entropy characterizes the communication between two braneworld black holes, coupled to each other through a common bath. We find a Page curve consistent with unitarity. The gravitational result, computed using double-holographically realized quantum extremal surfaces, matches the conformal field theory calculation. At zero temperature, we obtain an interesting extension of the AdS3/BCFT2 correspondence. For a central charge c, we find a gap $$ \left(\frac{c}{16},\frac{c}{12}\right) $$
in the spectrum of the scaling dimension ∆bcc of the boundary condition changing operator (which interpolates mismatched boundary conditions on the two boundaries of the BCFT). Depending on the value of ∆bcc, the gravitational dual is either a defect global AdS3 geometry or a single sided black hole, and in both cases there are two Karch-Randall branes.read more
Citations
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Inconsistency of islands in theories with long-range gravity
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Page Curve from Defect Extremal Surface and Island in Higher Dimensions
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TL;DR: In this article , the Page curve for a non-standard black hole which is asymptotically non-flat/AdS/dS was investigated for both the non-extremal case and the extremal case.
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Entanglement phase structure of a holographic BCFT in a black hole background
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Replica wormholes and capacity of entanglement
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References
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Holographic Derivation of Entanglement Entropy from the anti de Sitter Space/Conformal Field Theory Correspondence
Shinsei Ryu,Tadashi Takayanagi +1 more
TL;DR: It is argued that the entanglement entropy in d + 1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS(d+2), analogous to the Bekenstein-Hawking formula for black hole entropy.
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