A geometrical representation of the quantum information metric in the gauge/gravity correspondence
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 codimension2 surface on the gravity side if the unperturbed field theory possesses the Poincare symmetry.
 Publication:

Physics Letters B
 Pub Date:
 January 2022
 DOI:
 10.1016/j.physletb.2021.136830
 arXiv:
 arXiv:2110.13429
 Bibcode:
 2022PhLB..82436830T
 Keywords:

 High Energy Physics  Theory
 EPrint:
 10 pages, published version