Strong subadditivity and the covariant holographic entanglement entropy formula
High Energy Physics - Theory
2015-06-04 v1
Abstract
Headrick and Takayanagi showed that the Ryu-Takayanagi holographic entanglement entropy formula generally obeys the strong subadditivity (SSA) inequality, a fundamental property of entropy. However, the Ryu-Takayanagi formula only applies when the bulk spacetime is static. It is not known whether the covariant generalization proposed by Hubeny, Rangamani, and Takayanagi (HRT) also obeys SSA. We investigate this question in three-dimensional AdS-Vaidya spacetimes, finding that SSA is obeyed as long as the bulk spacetime satisfies the null energy condition. This provides strong support for the validity of the HRT formula.
Keywords
Cite
@article{arxiv.1204.2309,
title = {Strong subadditivity and the covariant holographic entanglement entropy formula},
author = {Robert Callan and Jianyang He and Matthew Headrick},
journal= {arXiv preprint arXiv:1204.2309},
year = {2015}
}
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38 pages