Bounds on gravitational brane couplings and tomography in AdS$_{3}$ black hole microstates
Résumé
We study information theoretic properties of planar black hole microstates in 2 + 1 dimensional asymptotically anti-de Sitter spacetime, modeled by black holes with an end-of-the-world brane behind the horizon. The von Neumann entropy of sufficiently large subregions in the dual CFT exhibits a time-dependent phase, which from a doubly-holographic perspective corresponds to the appearance of quantum extremal islands in the brane description. Considering the case where dilaton gravity is added to the brane, we show that tuning the associated couplings affects the propagation of information in the dual CFT state. By requiring that information theoretic bounds on the growth of entanglement entropy are satisfied in the dual CFT, we can place bounds on the allowed values of the couplings on the brane. Furthermore, we initiate the study of brane tomography, by showing how subleading corrections to the entanglement velocity can be used to learn about the properties of the brane as well as any gravitational dynamics localized on it.
Mots clés
2D Gravity
AdS-CFT Correspondence
Black Holes
Field Theories in Lower Dimensions
field theory: conformal
entropy: von Neumann
space-time: anti-de Sitter
black hole: anti-de Sitter
phase: time dependence
entropy: entanglement
gravitation: dilaton
membrane model
duality
microstate
propagation
horizon
velocity
dimension: 3
information theory
AdS/CFT correspondence
holography
gravitation: localization