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Revisiting Recent Progress in the Karch-Randall Braneworld
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Motivated by the study of entanglement island in the Karch-Randall braneworld, it has been conjectured and proven in general that entanglement island is not consistent with long-range (massless) gravity. In this paper, we provide a careful check of this conclusion in a model of massless gravity that is constructed using the Karch-Randall braneworld. We show that there is indeed no entanglement island and hence not a nontrivial Page curve due to the diffeomorphism invariance if we are studying the correct question which is though subtle. Moreover, we show that this conclusion is not affected by deforming the setup with the Dvali--Gabadadze--Porrati (DGP) terms. Furthermore, we show that the consistency of holography in this model will provide nontrivial constraints to the DGP parameters. This study provides an example that causality and holography in anti-de Sitter space can be used to constrain low energy effective theories. At the end, we clarify several subtleties in the braneworld gravity which are overlooked in the literature and we discuss the robustness of the above results against possible coarse-graining protocols to define a subregion in a gravitational theory.
Forward citations
Cited by 6 Pith papers
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For holography with a finite ETW-brane cutoff, entanglement wedge nesting requires the two intervals' RT surfaces to be spacelike separated, a condition stronger than spacelike separation of the intervals themselves.
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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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Building an AdS/BCFT Josephson junction within Horndeski gravity
AdS/BCFT with Horndeski gravity is claimed to yield Josephson junctions whose phase and current depend on the Horndeski couplings, but the condensate and critical temperature are put in by hand.
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Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
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