Brane Dynamics of Holographic BCFTs

Izumi, Keisuke; Shiromizu, Tetsuya; Suzuki, Kenta; Takayanagi, Tadashi; Tanahashi, Norihiro

doi:10.48550/arxiv.2205.15500

Cited by 5 publications

(9 citation statements)

References 91 publications

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“…However this discussion is naive as we did not care appropriately the cutoff . We will come back to this question in the near future [115].…”

Section: Jhep06(2022)095mentioning

confidence: 99%

“…There are several interesting future directions. An obvious one is a higher dimensional generalization, which we will come back soon [115]. Another important problem is to explore string theory embedding of the Island/BCFT correspondence and see how the coefficients of one-point functions behave in such top down models.…”

Section: Jhep06(2022)095mentioning

confidence: 99%

“…In this appendix, we present a naive discussion for the derivation of the energy refrection eqaution in the higher-dimensional version of the AdS/BCFT set-up. More complete discussion will be presented in [115]. We would like to compute the on-shell action of the induced gravity on the brane.…”

Section: Jhep06(2022)095mentioning

confidence: 99%

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BCFT and Islands in two dimensions

Suzuki

Takayanagi

2022

J. High Energ. Phys.

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By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how the boundary condition of the BCFT is translated in the gravitational system. We examine this duality relation in a two-dimensional setup by looking at the computation of entanglement entropy and energy flux conservation. We also identify the two-dimensional gravity which is dual to the boundary dynamics of a BCFT. Moreover, we show that by considering a gravity solution with scalar fields turned on, we can reproduce one point functions correctly in the AdS/BCFT.

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“…However this discussion is naive as we did not care appropriately the cutoff . We will come back to this question in the near future [115].…”

Section: Jhep06(2022)095mentioning

confidence: 99%

Section: Jhep06(2022)095mentioning

confidence: 99%

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BCFT and Islands in two dimensions

Suzuki

Takayanagi

2022

J. High Energ. Phys.

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“…Let's study the brane bending modes [60,61]. In the last subsection, we focus on the fixed brane locations (14).…”

Section: Brane Bending Modementioning

confidence: 99%

“…Note that A BH includes the contributions from DGP terms. Note also that we focus on half of the two-side black hole in (61). Recall that the RT surface ends on z 1 ≈ 0.950 and z 2 ≈ 0.484 on the left and right brane, respectively.…”

Section: Island Phasementioning

confidence: 99%

Entanglement Island and Page Curve in Wedge Holography

Miao¹

2023

Preprint

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Entanglement islands play an essential role in the recent breakthrough in resolving the black hole information paradox. However, it is controversial whether entanglement islands can exist in massless gravity theories. It is found that entanglement islands disappear in the initial model of wedge holography with massless gravity on the brane. As a result, the entanglement entropy of Hawking radiation becomes a time-independent constant, and there is no Page curve. In this paper, we recover massless entanglement islands in wedge holography with suitable DGP gravity or higher derivative gravity on the branes. We study two typical cases. In the first case, we consider a black hole on the strong-gravity brane and a bath on the weak-gravity brane. It is similar to the usual double holography with non-gravitational baths. In the second case, we discuss two black holes on the two branes with the same gravitational strength. We recover massless entanglement islands and non-trivial Page curves in both cases. We also argue that the entanglement island is consistent with massless gravity. Our results strongly support that entanglement islands exist in general theories of gravity.

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On the dynamics in the AdS/BCFT correspondence

Suzuki

Terashima

2022

J. High Energ. Phys.

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We consider a perturbation of the Einstein gravity with the Neumann boundary condition, which is regarded as an end of the world brane (ETW brane) of the AdS/BCFT correspondence, in the AdSd+1 spacetime with d ≥ 3. We obtain the mode expansion of the perturbations explicitly for the tensionless ETW brane case.We also show that the energy-momentum tensor in a d-dimensional BCFT should satisfy nontrivial constraints other than the ones for the boundary conformal symmetry if the BCFT can couple to a d-dimensional gravity with a specific boundary condition, which can be the Neumann or the conformally Dirichlet boundary conditions. We find these constraints are indeed satisfied for the free scalar BCFT. For the BCFT in the AdS/BCFT, we find that the BCFT can couple to the gravity with the Neumann boundary condition for the tensionless brane, but the BCFT can couple to the gravity with the conformally Dirichlet boundary condition for the nonzero tension brane by using holographic relations.

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Brane Dynamics of Holographic BCFTs

Cited by 5 publications

References 91 publications

BCFT and Islands in two dimensions

BCFT and Islands in two dimensions

Entanglement Island and Page Curve in Wedge Holography

On the dynamics in the AdS/BCFT correspondence

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