Conformally Lifshitz solutions from Horava-Lifshitz Gravity

TL;DR

This paper demonstrates that certain solutions in healthy non-projectable Hořava-Lifshitz gravity exhibit Lifshitz and hyperscaling violating geometries, suggesting a potential holographic interpretation involving deformations of conformal field theories.

Contribution

It identifies and analyzes Lifshitz and hyperscaling violating solutions within a modified Hořava-Lifshitz gravity framework, expanding the understanding of its IR behavior.

Findings

Existence of asymptotically Lifshitz solutions in HL gravity

Presence of hyperscaling violating solutions with small modifications

Potential AdS2×Rd vacuum solutions in the model

Abstract

We show that the IR action of the healthy non-projectable Ho\v{r}ava-Lifshitz (HL) gravity and its small modification exhibit asymptotically Lifshitz and hyperscaling violating solutions, respectively. The model may also have an AdS$_2\times R^d$ vacuum solution. By making use of our results, one may wonder that within the context of HL gravity the Lifshitz fixed point might be treated as a CFT deformed by the time component of a vector operator.