Higher derivative corrections to Lifshitz backgrounds

TL;DR

This paper investigates how curvature-squared corrections influence Lifshitz solutions in Einstein-Maxwell-dilaton systems, revealing stabilization mechanisms and horizon resolutions that connect AdS and Lifshitz geometries.

Contribution

It introduces a renormalized Lifshitz solution with R^2 corrections and demonstrates how specific curvature terms can stabilize the dilaton and modify the IR geometry.

Findings

Curvature-squared corrections modify Lifshitz backgrounds.

A toy model shows stabilization of the dilaton.

Numerical flows connect AdS, Lifshitz, and AdS_2 x R^2 geometries.

Abstract

We explore the effect of curvature-square corrections on Lifshitz solutions to the Einstein-Maxwell-dilaton system. After exhibiting the renormalized Lifshitz scaling solution to the system with parameterized R^2 corrections, we turn to a toy model with coupling g(\phi)C_{\mu\nu\rho\sigma}^2 and demonstrate that such a term can both stabilize the dilaton and resolve the Lifshitz horizon to AdS_2 x R^2. As an example, we construct numerical flows from AdS_4 in the UV to an intermediate Lifshitz region and then to AdS_2 x R^2 in the deep IR.