Complexity Equals Action
High Energy Physics - Theory
2016-05-12 v3
Abstract
We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in AdS, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light of our results, we discuss the hypothesis that black holes are the fastest computers in nature.
Keywords
Cite
@article{arxiv.1509.07876,
title = {Complexity Equals Action},
author = {Adam R. Brown and Daniel A. Roberts and Leonard Susskind and Brian Swingle and Ying Zhao},
journal= {arXiv preprint arXiv:1509.07876},
year = {2016}
}
Comments
published as "Holographic Complexity Equals Bulk Action?"