Higher spin holography with Galilean symmetry in general dimensions

TL;DR

This paper constructs Schroedinger-like solutions in higher spin theories with Galilean symmetry across dimensions, analyzes their symmetries and scalar equations, and proposes dual Galilean invariant field theories.

Contribution

It introduces new Schroedinger-like solutions in higher spin gravity and suggests dual Galilean invariant field theories, extending holography to non-relativistic settings.

Findings

Construction of Schroedinger-like solutions in higher spin theories.

Analysis of symmetries and scalar equations on these backgrounds.

Proposal of dual Galilean invariant field theories.

Abstract

We construct Schroedinger-like solutions of the Vasiliev higher spin theory in D>3 dimension. Symmetries of such solutions and the linearised equation of motion for the scalar on such backgrounds are analysed. We further propose Galilean invariant bosonic and fermionic field theories that could be dual to the two parity invariant higher spin theories on the Schroedinger-like background respectively. The discussion is phrased mainly in D=4 dimension, while similar constructions follow straightforwardly in higher dimensions.