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A geometrical representation of the quantum information metric in the gauge/gravity correspondence

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2022Embargo end date: 01 Jan 2021Publisher:Elsevier BVJournal:Physics Letters B, volume 824, page 136,830 (issn: 0370-2693,

Authors: Asato Tsuchiya; Kazushi Yamashiro;

doi: 10.1016/j.physletb.2021.136830 , 10.48550/arxiv.2110.13429

arXiv: http://arxiv.org/abs/2110.13429

A geometrical representation of the quantum information metric in the gauge/gravity correspondence

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Abstract

We study a geometrical representation of the quantum information metric in the gauge/gravity correspondence. We consider the quantum information metric that measures the distance between the ground states of two theories on the field theory side, one of which is obtained by perturbing the other. We show that the information metric is represented by a back reaction to the volume of a codimension-2 surface on the gravity side if the unperturbed field theory possesses the Poincare symmetry.

10 pages, published version

Related Organizations

Shizuoka University
Japan

Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Physics, QC1-999, FOS: Physical sciences

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