Schrodinger Holography for z<2

TL;DR

This paper develops a holographic framework for asymptotically Schrödinger spacetimes with dynamical exponent z<2, establishing a geometric boundary data definition and demonstrating the existence of asymptotic expansions.

Contribution

It introduces a new holographic dictionary based on frame fields for z<2 Schrödinger spacetimes, clarifying boundary conditions and asymptotic structure.

Findings

Holographic dictionary for z<2 Schrödinger spacetimes established

Existence of asymptotic expansions for generic boundary data proven

Comments provided on the special case z=2

Abstract

We investigate holography for asymptotically Schrodinger spacetimes, using a frame formalism. Our dictionary is based on the anisotropic scaling symmetry. We consider z <2, where the holographic dictionary is cleaner; we make some comments on z=2. We propose a definition of asymptotically locally Schrodinger spacetime where the leading components of the frame fields provide suitable geometric boundary data. We show that an asymptotic expansion exists for generic boundary data satisfying our boundary conditions for z<2.