$R^2$ corrections to Complexity Growth with a Probe String
High Energy Physics - Phenomenology
2025-07-29 v1
Abstract
We investigate the effect of corrections on holographic complexity growth within the framework of the Complexity=Action(CA) conjecture. By introducing a probe string into Gauss-Bonnet(GB) black brane background, we analyze the time derivative of the Nambu-Goto(NG) action as the holographic dual to complexity growth. Our results indicate that the complexity growth is maximized for a stationary string and is suppressed by its motion. Significantly, we identify a crossover point at specific string velocity, where the influence of corrections on complexity growth changes. For slow strings, stronger corrections enhance complexity growth, whereas for fast strings they suppress it.
Cite
@article{arxiv.2507.20841,
title = {$R^2$ corrections to Complexity Growth with a Probe String},
author = {Wen-Bin Chang},
journal= {arXiv preprint arXiv:2507.20841},
year = {2025}
}