Information geometry encoded in bulk geometry
High Energy Physics - Theory
2020-06-29 v3
Abstract
We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a CFT and a theory obtained by perturbing the CFT. We find a universal formula that represents the quantum information metric in terms of back reaction to the AdS bulk geometry.
Cite
@article{arxiv.2002.11365,
title = {Information geometry encoded in bulk geometry},
author = {Asato Tsuchiya and Kazushi Yamashiro},
journal= {arXiv preprint arXiv:2002.11365},
year = {2020}
}
Comments
19 pages, 1 figure, published version