Holographic Fisher Information Metric in Schr\"odinger Spacetime

Understand

In this paper we study the Fisher information metric on the space of the coupling constants on both sides of the duality between non-relativistic dipole field theories and string theory in Schr\"odinger spacetime.

• We consider the following setup.
• In the gauge theory side one can deform a given conformal field theory by a proper scalar operator and compute the quantum information metric via the two-point correlation function between two such operators.
• On the string side the deformation corresponds to a scalar field probing the background.