Negativity and its capacity in JT gravity

Abstract

We study the refined Rényi 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 Rényi 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 Rényi 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.