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

@article{Tsuchiya2021AGR,
title={A geometrical representation of the quantum information metric in the gauge/gravity correspondence},
author={Asato Tsuchiya and Kazushi Yamashiro},
journal={Physics Letters B},
year={2021}
}

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. e-mail… Expand

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Abstract We consider the quantum information metric of a family of CFTs perturbed by an exactly marginal operator, which has the dual description of the Euclidean Janus geometries. We first clarify… Expand

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