Flows to Schrodinger Geometries

TL;DR

This paper constructs renormalization group flow solutions connecting AdS and Schrödinger geometries within supergravity models, revealing how scalar field dynamics induce nonrelativistic holographic duals with z=2 scaling.

Contribution

It demonstrates the realization of z=2 Schrödinger geometries at scalar potential minima via RG flows in consistent supergravity reductions, introducing a new holographic construction.

Findings

z=2 Schrödinger geometries at scalar potential minima

RG flows driven by operator deformations in dual CFTs

Use of fake superpotentials to describe flows

Abstract

We construct RG flow solutions interpolating AdS and Schrodinger geometries in Abelian Higgs models obtained from consistent reductions of type IIB supergravity and M-theory. We find that z=2 Schrodinger geometries can be realized at the minima of scalar potentials of these models, where a scalar charged under U(1) gauge symmetry obtains a nonzero vacuum expectation value. The RG flows are induced by an operator deformation of the dual CFT. The flows are captured by fake superpotentials of the theories.