Holographic Complexity from the Crofton's Formula in Lorentzian AdS$_3$
High Energy Physics - Theory
2020-02-19 v2
Abstract
We study the Crofton's formula in the Lorentzian AdS and find that the area of a generic space-like two dimensional surface is given by the flux of space-like geodesics. The "complexity=volume" conjecture then implies a new holographic representation of the complexity in terms of the number of geodesics. Finally, we explore the possible explanation of this result from the standpoint of information theory.
Keywords
Cite
@article{arxiv.1909.07048,
title = {Holographic Complexity from the Crofton's Formula in Lorentzian AdS$_3$},
author = {Xing Huang and Le Zhang},
journal= {arXiv preprint arXiv:1909.07048},
year = {2020}
}
Comments
23 pages,5 figures,v2: references added