# Massive islands

@article{Geng2020MassiveI, title={Massive islands}, author={Hao Geng and Andreas Karch}, journal={arXiv: High Energy Physics - Theory}, year={2020} }

We comment on the role of the graviton mass in recent calculations of the Page curve using holographic ideas. All reliable calculations of the Page curve in more than 2+1 spacetime dimensions have been performed in systems with massive gravitons. A crucial ingredient in these calculations is the formation of islands, regions that contribute to the entropy of degrees of freedom located elsewhere. While most often simply ignored, it is indeed true that mass of the graviton does not appear to…

## 104 Citations

Critical islands

- Physics
- 2020

We discuss a doubly-holographic prescription for black holes in braneworlds with a vanishing cosmological constant. It involves calculating Ryu-Takayanagi surfaces in AdS black funnel spacetimes…

Island in charged black holes

- Physics
- 2020

We study the information paradox for the eternal black hole with charges on a doubly-holographic model in general dimensions, where the charged black hole on a Planck brane is coupled to the baths on…

Prepared for submission to JHEP Islands with Gravitating Baths

- Physics
- 2021

We study the Page curve and the island rule for black holes evaporating into gravitating baths, with an eye towards establishing a connection with the ER=EPR proposal. We consider several models of…

Quantum extremal islands made easy. Part III. Complexity on the brane

- Physics
- 2020

We examine holographic complexity in the doubly holographic model introduced in [arXiv:2006.04851][arXiv:2010.00018] to study quantum extremal islands. We focus on the holographic complexity=volume…

Islands in linear dilaton black holes

- Physics
- 2021

We derive a novel four-dimensional black hole with planar horizon that asymptotes to the linear dilaton background. The usual growth of its entanglement entropy before Page’s time is established.…

Concerns about the replica wormhole derivation of the island conjecture

- Physics
- 2021

In a close look at the replica wormhole derivation of the island conjecture, we note a discrepancy in the derived matrix eigenvalues in the limit where the Hawking radiation entropy goes to zero. The…

Quantum extremal islands made easy. Part II. Black holes on the brane

- Physics
- 2020

We discuss holographic models of extremal and non-extremal black holes in contact with a bath in d dimensions, based on a brane world model introduced in arXiv:2006.04851. The main benefit of our…

Dirichlet baths and the not-so-fine-grained Page curve

- Physics
- 2021

We present a doubly holographic prescription for computing entanglement entropy on a gravitating brane. It involves a Ryu-Takayanagi surface with a Dirichlet anchoring condition. In braneworld…

Global symmetry, Euclidean gravity, and the black hole information problem

- Physics
- 2020

In this paper we argue for a close connection between the non-existence of global symmetries in quantum gravity and a unitary resolution of the black hole information problem. In particular we show…

Quantum extremal islands made easy. Part I. Entanglement on the brane

- Physics
- 2020

Recent progress in our understanding of the black hole information paradox has lead to a new prescription for calculating entanglement entropies, which involves special subsystems in regions where…

## References

SHOWING 1-10 OF 51 REFERENCES

Entanglement islands in higher dimensions

- Physics
- 2019

It has been suggested in recent work that the Page curve of Hawking radiation can be recovered using computations in semi-classical gravity provided one allows for "islands" in the gravity region of…

Locally localized gravity

- Physics
- 2000

We study the fluctuation spectrum of linearized gravity around non-fine-tuned branes. We focus on the case of an AdS4 brane in AdS§. In this case, for small cosmological constant, the warp factor…

Islands outside the horizon

- Physics
- 2019

We consider an AdS$_2$ black hole in equilibrium with a bath, which we take to have a dual description as (0+1)-dimensional quantum mechanical system coupled to a (1+1)-dimensional field theory…

Replica wormholes and the entropy of Hawking radiation

- Computer Science
- 2019

The information paradox can be realized in anti-de Sitter spacetime joined to a Minkowski region. In this setting, we show that the large discrepancy between the von Neumann entropy as calculated by…

Mass and gauge invariance: Holography for the Karch-Randall model

- Physics
- 2002

We argue that the Karch-Randall compactification is holographically dual to a 4D conformal field theory coupled to gravity on anti\char21{}de Sitter space. Using this interpretation we recover the…

CFT/AdS correspondence, massive gravitons, and a connectivity index conjecture

- Mathematics, Physics
- 2006

We discuss the general question of which conformal field theories have dual descriptions in terms of quantum gravity theories on anti-de Sitter space. We analyze in detail the case of a deformed…

On the existence and dynamics of braneworld black holes

- Physics
- 2006

Based on holographic arguments Tanaka and Emparan et al have claimed that large localized static black holes do not exist in the one-brane Randall-Sundrum model. If such black holes are…

Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space

- Physics
- 2002

We show that standard Einstein gravity coupled to a free conformal field theory (CFT) in anti-de Sitter space can undergo a Higgs phenomenon whereby the graviton acquires a nonzero mass (and three…

An Alternative to compactification

- Physics
- 1999

Conventional wisdom states that Newton's force law implies only four noncompact dimensions. We demonstrate that this is not necessarily true in the presence of a nonfactorizable background geometry.…