Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2020)166
Keywords
AdS-CFT Correspondence; Black Holes; Conformal Field Theory
Categories
Funding
- Government of Canada through the Department of Innovation, Science and Economic Development Canada
- Province of Ontario through the Ministry of Colleges and Universities
- Natural Sciences and Engineering Research Council of Canada
- BMO Financial Group
- Province of Ontario through an Ontario Graduate Scholarship
- University of Waterloo through an Ontario Graduate Scholarship
- Simons Foundation through the It from Qubitcollaboration
- Gravity, Quantum Fields and Information group at AEI - Alexander von Humboldt Foundation
- Federal Ministry for Education and Research through the Sofja Kovalevskaja Award
- Perimeter Visiting Graduate Fellows program
- Natural Sciences and Engineering Research Council of Canada (NSERC)
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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 AdS(d+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 AdS(d) 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.
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