More on Complexity in Finite Cut Off Geometry
High Energy Physics - Theory
2019-09-04 v2
Abstract
It has been recently proposed that late time behavior of holographic complexity in a uncharged black brane solution of Einstein-Hilbert theory with boundary cut off is consistent with Lloyd's bound if we have a cut off behind the horizon. Interestingly, the value of this new cut off is fixed by the boundary cut off. In this paper, we extend this analysis to the charged black holes. Concretely, we find the value of this new cut off for charged small black hole solutions of Einstein-Hilbert-Maxwell theory, in which the proposed bound on the complexification is saturated. We also explore this new cut off in Gauss-Bonnet-Maxwell theory.
Cite
@article{arxiv.1902.03554,
title = {More on Complexity in Finite Cut Off Geometry},
author = {S. Sedigheh Hashemi and Ghadir Jafari and Ali Naseh and Hamed Zolfi},
journal= {arXiv preprint arXiv:1902.03554},
year = {2019}
}
Comments
19 pages, 1 figure