On volume subregion complexity in Vaidya spacetime
High Energy Physics - Theory
2020-01-08 v2
Abstract
We study holographic subregion volume complexity for a line segment in the AdS Vaidya geometry. On the field theory side, this gravity background corresponds to a sudden quench which leads to the thermalization of the strongly-coupled dual conformal field theory. We find the time-dependent extremal volume surface by numerically solving a partial differential equation with boundary condition given by the Hubeny-Rangamani-Takayanagi surface, and we use this solution to compute holographic subregion complexity as a function of time. Approximate analytical expressions valid at early and at late times are derived.
Keywords
Cite
@article{arxiv.1908.10832,
title = {On volume subregion complexity in Vaidya spacetime},
author = {Roberto Auzzi and Giuseppe Nardelli and Fidel I. Schaposnik Massolo and Gianni Tallarita and Nicolo Zenoni},
journal= {arXiv preprint arXiv:1908.10832},
year = {2020}
}
Comments
22 pages, 9 figures; V2: expanded discussion