PreprintarXiv licencearXiv
Holographic entropy inequalities & typical states
Abstract
As a consequence of the Ryu-Takayanagi formula, static semiclassical states in AdS quantum gravity share a set of special properties expressible as linear inequalities on their entanglement entropies. How general are these properties? Do they still hold when we move away from the regime of validity of RT, i.e. static states in classical Einstein gravity? Do they perhaps hold even for some class of non-holographic states? We will motivate these questions and review what's known about the answers.
Related
BibTeX
@misc{grimaldi2026holographic,
title = {{Holographic entropy inequalities & typical states}},
author = {Guglielmo Grimaldi and Matthew Headrick},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33905},
eprint = {2610.33905},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33905},
}
RIS
TY - UNPB
TI - Holographic entropy inequalities & typical states
AU - Guglielmo Grimaldi
AU - Matthew Headrick
PY - 2026
DA - 2026/10/24
PB - arXiv
DO - 10.48550/arxiv.2610.33905
UR - https://arxiv.org/abs/2610.33905
AB - As a consequence of the Ryu-Takayanagi formula, static semiclassical states in AdS quantum gravity share a set of special properties expressible as linear inequalities on their entanglement entropies. How general are these properties? Do they still hold when we move away from the regime of validity of RT, i.e. static states in classical Einstein gravity? Do they perhaps hold even for some class of non-holographic states? We will motivate these questions and review what's known about the answers.
ER -