Does Complexity Equal Anything?
High Energy Physics - Theory
2022-10-19 v2 General Relativity and Quantum Cosmology
Abstract
We present a new infinite class of gravitational observables in asymptotically Anti-de Sitter space living on codimension-one slices of the geometry, the most famous of which is the volume of the maximal slice. We show that these observables display universal features for the thermofield-double state: they grow linearly in time at late times and reproduce the switch-back effect in shock wave geometries. We argue that any member of this class of observables is an equally viable candidate as the extremal volume for a gravitational dual of complexity.
Keywords
Cite
@article{arxiv.2111.02429,
title = {Does Complexity Equal Anything?},
author = {Alexandre Belin and Robert C. Myers and Shan-Ming Ruan and Gábor Sárosi and Antony J. Speranza},
journal= {arXiv preprint arXiv:2111.02429},
year = {2022}
}
Comments
6 pages + appendices, 3 figures; v2 minor edits and title change - version as in PRL