Logarithmic curvature correction to Lifshitz and hyperscaling violation geometries

TL;DR

This paper explores how adding logarithmic curvature corrections affects Lifshitz and hyperscaling violation geometries, revealing new behaviors in gauge functions and potential, and addressing IR singularities.

Contribution

It introduces the effect of logarithmic curvature corrections on Lifshitz and hyperscaling geometries, showing novel behaviors and potential resolutions of IR singularities.

Findings

Logarithmic behavior in dilaton coupling with correction terms

Unexpected forms of gauge kinetic function and potential

Potential resolution of IR singularities using logarithmic terms

Abstract

In this note we consider the logarithmic curvature correction to Lifshitz and hyper scaling violation geometries. We investigate the effect of this correction to the gauge kinetic function f and the effective potential V . For the case of hyper scaling violating we show that the coupling between dilaton and the correction terms exhibit the logarithmic behavior for dilaton like for the case of squared curvature correction. We find the unexpected form of gauge kinetic function and potential in the presence of logarithmic terms. We try to resolve the IR singularity of Lifshitz and hyperscaling violation geometries by adding the logarithmic term.