Island formula in Planck brane

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 in corpus (9)

• End of the World Brane meets $T\bar{T}$
• Geometrizing the Partial Entanglement Entropy: from PEE Threads to Bit Threads
• Ghost Problem, Spectrum Identities and Various Constraints on Brane-localized Gravity
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Binary AdS black holes coupled to a bath in Type IIB
• Cone Holography with Neumann Boundary Conditions and Brane-localized Gauge Fields
• Non-extremal Island in de Sitter Gravity
• Investigating the role of mutual information in the Page curve for a functional renormalization group improved Schwarzschild black hole
• New insights on mutual information in the island approach to the Page curve