Towards non-AdS holography in 3-dimensional higher spin gravity

TL;DR

This paper develops a variational principle for 3D higher spin gravity that allows for non-AdS asymptotic backgrounds, expanding the scope of holography beyond traditional AdS spaces.

Contribution

It introduces a new variational principle for higher spin gravity accommodating non-AdS backgrounds, including Lifshitz and Schrödinger geometries.

Findings

Constructed geometries for four sl(2) embeddings of spin-4 gravity

Provided examples of asymptotic Lifshitz black holes

Extended holographic frameworks to non-AdS spacetimes

Abstract

We take the first steps towards non-AdS holography in higher spin gravity. Namely, we propose a variational principle for generic 3-dimensional higher spin gravity that accommodates asymptotic backgrounds beyond AdS, like asymptotically Schrodinger, Lifshitz or warped AdS spacetimes. As examples we study in some detail the four sl(2) embeddings of spin-4 gravity and provide associated geometries, including an asymptotic Lifshitz black hole.