Massless entanglement islands in cone holography

Li, Dongqi; Miao, Rong-Xin

doi:10.1007/jhep06(2023)056

Cited by 14 publications

(3 citation statements)

References 62 publications

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“…Recent work [67][68][69] has claimed that one may get nontrivial Page curves and islands even with a gravitating bath (and thus, massless gravity) by turning on brane-localized couplingsparticularly DGP terms (2)-treated as higher-derivative corrections to RS terms (1). Such a result requires that the coupling G b in (2) be negative on at least one of the branes, but this alone is not necessarily an unphysical assumption for AdS branes.…”

Section: Relevance To Black-hole Informationmentioning

confidence: 99%

“…Essentially, our criteria-particularly CWI-mandate that UV-consistent two-brane setups furnish a trivial semiclassical Page curve for the entropy of Hawking radiation on the brane, in accordance with the ideas of [60,64,66], with the entropy always given by the horizon area. Thus, braneworld theories with massless gravity on the brane and whose entanglement structures yield nontrivial Page curves [67][68][69] contradict CWI and should be considered in the swampland.…”

Section: Outlinementioning

confidence: 99%

“…Recent work [67][68][69] has proposed that our prior result is changed by adding DGP terms to the two-brane setup. The basic claim is that for at least some combinations of DGP couplings (with at least one being negative) the bulk horizon no longer computes the minimum of the entropy functional, allowing for time-dependent RT surfaces.…”

Section: Trivial Massless Page Curvesmentioning

confidence: 99%

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Constraining braneworlds with entanglement entropy

Geng,

Karch,

Perez-Pardavila

et al. 2023

SciPost Phys.

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We propose swampland criteria for braneworlds viewed as effective field theories of defects coupled to semiclassical gravity. We do this by exploiting their holographic interpretation. We focus on general features of entanglement entropies and their holographic calculations. Entropies have to be positive. Furthermore, causality imposes certain constraints on the surfaces that are used holographically to compute them, most notably a property known as causal wedge inclusion. As a test case, we explicitly constrain the Dvali-Gabadadze-Porrati term as a second-order-in-derivatives correction to the Randall-Sundrum action. We conclude by discussing the implications of these criteria for the question on whether entanglement islands in theories with massless gravitons are possible in Karch-Randall braneworlds.

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Section: Relevance To Black-hole Informationmentioning

confidence: 99%

Section: Outlinementioning

confidence: 99%

Section: Trivial Massless Page Curvesmentioning

confidence: 99%

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Constraining braneworlds with entanglement entropy

Geng,

Karch,

Perez-Pardavila

et al. 2023

SciPost Phys.

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Geometrizing the partial entanglement entropy: from PEE threads to bit threads

Lin,

Lu,

Wen

2024

J. High Energ. Phys.

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We give a scheme to geometrize the partial entanglement entropy (PEE) for holographic CFT in the context of AdS/CFT. More explicitly, given a point x we geometrize the two-point PEEs between x and any other points in terms of the bulk geodesics connecting these two points. We refer to these geodesics as the PEE threads, which can be naturally regarded as the integral curves of a divergenceless vector field $$ {V}_{\textbf{x}}^{\mu } $$ V x μ , which we call PEE thread flow. The norm of $$ {V}_{\textbf{x}}^{\mu } $$ V x μ that characterizes the density of the PEE threads can be determined by some physical requirements of the PEE. We show that, for any static interval or spherical region A, a unique bit thread configuration can be generated from the PEE thread configuration determined by the state. Hence, the non-intrinsic bit threads are emergent from the intrinsic PEE threads. For static disconnected intervals, the vector fields describing a divergenceless flow is no longer suitable to reproduce the RT formula. We weight a PEE thread with the number of times it intersects with any homologous surface. Instead, the RT formula is perfectly reformulated by the minimization of the summation of PEE threads with all possible assignment of weights.

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Cone holography with Neumann boundary conditions and brane-localized gauge fields

Cui,

Guo,

Miao

2024

J. High Energ. Phys.

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Cone holography is a codimension-n doubly holographic model, which can be interpreted as the holographic dual of edge modes on defects. The initial model of cone holography is based on mixed boundary conditions. This paper formulates cone holography with Neumann boundary conditions, where the brane-localized gauge fields play an essential role. Firstly, we illustrate the main ideas in an AdS4/CFT1 toy model. We show that the U(1) gauge field on the end-of-the-world brane can make the typical solution consistent with Neumann boundary conditions. Then, we generalize the discussions to general codimension-n cone holography by employing brane-localized p-form gauge fields. We also investigate perturbative solutions and prove the mass spectrum of Kaluza-Klein gravitons is non-negative. Furthermore, we prove that cone holography obeys holographic c-theorem. Finally, inspired by the recently proposed chiral model in AdS/BCFT, we construct another type of cone holography with Neumann boundary conditions by applying massive vector (Proca) fields on the end-of-the-world brane.

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Massless entanglement islands in cone holography

Cited by 14 publications

References 62 publications

Constraining braneworlds with entanglement entropy

Constraining braneworlds with entanglement entropy

Geometrizing the partial entanglement entropy: from PEE threads to bit threads

Cone holography with Neumann boundary conditions and brane-localized gauge fields

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