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Island formula in Planck brane

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arxiv 2308.03645 v4 pith:CHHJJC7W submitted 2023-08-07 hep-th

Jing-Cheng Chang , Song He , Yu-Xiao Liu , Long Zhao This is my paper · ORCID
classification hep-th
keywords formulaspacetimebranedualentanglemententropygravitationalgravity
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abstract

Double holography offers a profound understanding of the island formula by describing a gravitational system on AdS$_d$ coupled to a conformal field theory on $\mathbb{R}^{1,d-1}$, dual to an AdS$_{d+1}$ spacetime with an end-of-the-world (EOW) brane. In this work, we extend the proposal in [A. Almheiri et al. JHEP 03 (2020) 149] by considering that the dual bulk spacetime has two EOW branes: one with a gravitational system and the other with a thermal bath. We demonstrate an equivalence between this proposal and the wedge holographic theory. We examine it in both Anti-de Sitter gravity and de Sitter gravity by calculating the entanglement entropy of the Hawking radiation. Finally, we employ the doubly holographic model to verify the formula for the entanglement entropy in a subregion within conformally flat spacetime.

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Cited by 5 Pith papers

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  1. Wedge Holographic Complexity in Karch-Randall Braneworld

    hep-th 2024-12 conditional novelty 6.0 of 10

    For a wedge black string with fluctuating branes, the Complexity=Action growth rate gains a constant edge-mode term while Complexity=Volume gains a fluctuation-squared correction, breaking the naive equivalence of the...

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    A semiclassical Euclidean charged wormhole with an anti-de Sitter boundary can, in a fine-tuned potential, assign higher probability to a longer inflationary period, but it does not beat the Hartle-Hawking no-boundary state.

  5. Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity

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