The Case of the Missing Gates: Complexity of Jackiw-Teitelboim Gravity
High Energy Physics - Theory
2019-03-06 v1 General Relativity and Quantum Cosmology
Abstract
The Jackiw-Teitelboim (JT) model arises from the dimensional reduction of charged black holes. Motivated by the holographic complexity conjecture, we calculate the late-time rate of change of action of a Wheeler-DeWitt patch in the JT theory. Surprisingly, the rate vanishes. This is puzzling because it contradicts both holographic expectations for the rate of complexification and also action calculations for charged black holes. We trace the discrepancy to an improper treatment of boundary terms when naively doing the dimensional reduction. Once the boundary term is corrected, we find exact agreement with expectations. We comment on the general lessons that this might hold for holographic complexity and beyond.
Keywords
Cite
@article{arxiv.1810.08741,
title = {The Case of the Missing Gates: Complexity of Jackiw-Teitelboim Gravity},
author = {Adam R. Brown and Hrant Gharibyan and Henry W. Lin and Leonard Susskind and Larus Thorlacius and Ying Zhao},
journal= {arXiv preprint arXiv:1810.08741},
year = {2019}
}
Comments
31 pages, 5 figures