Negativity and its capacity in JT gravity
High Energy Physics - Theory
2023-12-20 v1
Abstract
We study the refined R\'{e}nyi negativity in the matrix model of Jackiw-Teitelboim (JT) gravity. We first consider the JT gravity with dynamical branes, which serves as a toy model of the evaporating black hole. By including the backreaction of branes, we find that the refined R\'{e}nyi negativity monotonically decreases at late time of the evaporation. Next we define a novel quantity, which we call ``capacity of negativity,'' as a derivative of the refined R\'{e}nyi negativity with respect to the replica number. We find that the capacity of negativity has two peaks as a function of time, which comes from the exchange of dominance of the different types of replica wormholes.
Cite
@article{arxiv.2312.11860,
title = {Negativity and its capacity in JT gravity},
author = {Kazumi Okuyama and Takeshi Tachibana},
journal= {arXiv preprint arXiv:2312.11860},
year = {2023}
}
Comments
23 pages