Higher Spin Lifshitz Theory and Integrable Systems

TL;DR

This paper constructs Lifshitz spacetimes in higher spin gravity using Chern-Simons theory and links these to integrable systems within the KdV hierarchy, revealing new connections between gravity and integrable models.

Contribution

It introduces a novel construction of Lifshitz spacetimes in higher spin gravity and establishes their relation to integrable systems, expanding the understanding of holography and integrability.

Findings

Lifshitz spacetimes constructed in higher spin gravity

Connection established between these spacetimes and KdV hierarchy

New insights into the holographic duality involving integrable systems

Abstract

In this note we construct asymptotically Lifshitz spacetimes in the Chern-Simons formulation of three dimensional higher spin gravity and relate the resulting theories to integrable systems which are elements of the KdV hierarchy.