Universal time-dependent deformations of Schrodinger geometry

TL;DR

This paper explores universal time-dependent deformations of Schrodinger geometry, providing exact solutions that can be embedded in supergravity and interpreted in field theory, especially regarding time-dependent chemical potentials.

Contribution

It introduces new exact, universal time-dependent deformations of Schrodinger geometry, applicable across supergravity models, with field theory interpretations including time-dependent chemical potentials.

Findings

Presented scale invariant but non-conformal deformation

Provided non-conformal but scale invariant deformation

Achieved deformations invariant under both scale and conformal transformations

Abstract

We investigate universal time-dependent exact deformations of Schrodinger geometry. We present 1) scale invariant but non-conformal deformation, 2) non-conformal but scale invariant deformation, and 3) both scale and conformal invariant deformation. All these solutions are universal in the sense that we could embed them in any supergravity constructions of the Schrodinger invariant geometry. We give a field theory interpretation of our time-dependent solutions. In particular, we argue that any time-dependent chemical potential can be treated exactly in our gravity dual approach.