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Reflected entropy in BCFTs on a black hole background
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abstract
We obtain the reflected entropy for bipartite mixed state configurations involving two disjoint and adjacent subsystems in two dimensional boundary conformal field theories (BCFT$_2$s) in a black hole background. The bulk dual is described by an AdS$_3$ black string geometry truncated by a Karch-Randall brane. The entanglement wedge cross section computed for this geometry matches with the reflected entropy obtained for the BCFT$_2$ verifying the holographic duality. In this context, we also obtain the analogues of the Page curves for the reflected entropy and investigate the behaviour of the Markov gap.
Forward citations
Cited by 2 Pith papers
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Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
The paper's central claim, that a Horndeski-gravity residual entropy -ξ/6 identifies smooth-interior microstates and firewalls, is an unsupported interpretation of previously derived formulas.
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Holographic Complexity as a Probe of Boundary Entropy in AdS/BCFT
Relative complexity in AdS/BCFT is claimed to equal boundary entropy log g divided by pi hbar, but the equality is built into the renormalization counterterm.
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