Quantum extremal islands made easy. Part II. Black holes on the brane
By H. Chen, R. Myers, Dominik Neuenfeld, I. Reyes, Joshua Sandor. Journal of High Energy Physics, 2020
186 citations recorded by the source corpus.
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 [1]. The main benefit of our setup is that it allows for a high degree of analytic control as compared to previous work in higher dimensions. We show that the appearance of quantum extremal islands in those models is a consequence of the well-understood phase transition of RT surfaces, and does not make any direct reference to ensemble averaging. For non-extremal black holes the appearance of quantum extremal islands has the right behaviour to avoid the information paradox in any dimension. We further show that for these models the calculation of the full Page curve is possible in any dimension. The calculation reduces to numerically solving two ODEs. In the case of extremal black holes in higher dimensions, we find no quantum extremal islands for a wide range of parameters. In two dimensions, our results agree with [2] at leading order; however a finite UV cutoff introduced by the brane results in subleading corrections. For example, these corrections result in the quantum extremal surfaces moving further outward from the horizon, and shifting the Page transition to a slightly earlier time.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d26df498e341fed03d3566543bcd06c83212d4f7
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Citations in the corpus
- Information Transfer with a Gravitating Bath (2020, methodology): “ angle equals that of the Hartman-Maldacena surface. In addition, cis the upper bound of the angles for which an island surface can be found at all. This angle also played a role in the analysis of [14]. We will further explore the generality and universality of the critical angle in a later sectio”
- Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, methodology): “In fact, in [46], we will explicitly show without additional Gauss-Bonnet or DGP couplings that quantum extremal islands appear for (nonextremal) eternal black holes in equilibrium with an external heat bath, i.”