The particle number in Galilean holography

TL;DR

This paper explores the particle number spectrum in Galilean holography, constructing models with Schrödinger symmetry and finite density, and introduces a potential holographic Mott insulator, advancing the understanding of dualities in non-relativistic systems.

Contribution

It demonstrates that the particle number spectrum is not fixed by gravity duals and constructs new models with Schrödinger symmetry and finite density, including a holographic Mott insulator.

Findings

Constructed bulk systems with asymptotic Schrödinger symmetry

Found solutions describing finite density systems

Realized a holographic Mott insulator

Abstract

Recently, gravity duals for certain Galilean-invariant conformal field theories have been constructed. In this paper, we point out that the spectrum of the particle number operator in the examples found so far is not a necessary consequence of the existence of a gravity dual. We record some progress towards more realistic spectra. In particular, we construct bulk systems with asymptotic Schrodinger symmetry and only one extra dimension. In examples, we find solutions which describe these Schrodinger-symmetric systems at finite density. A lift to M-theory is used to resolve a curvature singularity. As a happy byproduct of this analysis, we realize a state which could be called a holographic Mott insulator.