Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates

TL;DR

This paper investigates how brane couplings influence information flow in AdS3 black hole microstates and introduces methods to infer brane properties through entanglement velocity corrections.

Contribution

It establishes bounds on brane couplings based on entanglement entropy growth and pioneers brane tomography using subleading entanglement velocity corrections.

Findings

Bounds on brane couplings derived from entanglement entropy constraints

Demonstration of how to use entanglement velocity corrections for brane property inference

Analysis of the impact of dilaton gravity couplings on information propagation

Abstract

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.