Quantum extremal islands made easy. Part I. Entanglement on the brane
By H. Chen, R. Myers, Dominik Neuenfeld, I. Reyes, Joshua Sandor. Journal of High Energy Physics, 2020
229 citations recorded by the source corpus.
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 gravity is dynamical, called quantum extremal islands. We present a simple holographic framework where the emergence of quantum extremal islands can be understood in terms of the standard Ryu-Takayanagi prescription, used for calculating entanglement entropies in the boundary theory. Our setup describes a d-dimensional boundary CFT coupled to a (d−1)-dimensional defect, which are dual to global AdSd+1 containing a codimension-one brane. Through the Randall-Sundrum mechanism, graviton modes become localized at the brane, and in a certain parameter regime, an effective description of the brane is given by Einstein gravity on an AdSd background coupled to two copies of the boundary CFT. Within this effective description, the standard RT formula implies the existence of quantum extremal islands in the gravitating region, whenever the RT surface crosses the brane. This indicates that islands are a universal feature of effective theories of gravity and need not be tied to the presence of black holes.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1765f091371651a33d8d3c188b28044b43d91bce
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Citations in the corpus
- Lessons from the information paradox (2020, background): “c conguration | where the brane is \perpendicular" to the boundary | and where the metric can be analyzed explicitly was studied in [136]. Islands can also be studied without black holes at all [138]. Since the eternal black hole has two asymptotic regions, the boundary dual to this system comp”
- Information Transfer with a Gravitating Bath (2020, methodology): “, zero-area entanglement surface r() = 0 is shown on the right as a limit, cutting through the middle of the space. problem: the curvature radius of the sphere. Global AdS d+1 is also the setting of [15] which established the existence of islands at zero temperature in modied braneworld setups. Our ”
- Quantum extremal islands made easy. Part II. Black holes on the brane (2020, methodology): “While limited results have been obtained on this front [14, 30–34], we focus here on the holographic model which we introduced in [1].”