Drag force in asymptotically Lifshitz spacetimes

TL;DR

This work computes drag forces for heavy charges on flavor branes in asymptotically Lifshitz spacetimes with general $z$, using trailing strings in zero and finite temperature backgrounds. It extends to string-dual realizations of Lifshitz-like fixed points, revealing energy loss even at zero temperature for both isotropic and anisotropic directions, and quantifies finite-temperature drag with explicit formulas in several cases. The results are connected to DC conductivity of strange metals, reproducing and extending the Hartnoll scaling in a non-relativistic holographic context and exploring how $R^2$ (Gauss-Bonnet) corrections and anisotropy affect transport. Overall, the paper strengthens the holographic understanding of transport in non-relativistic strongly coupled systems and outlines how these drag calculations inform conductivity and anisotropic transport in Lifshitz-like theories.

Abstract

We calculated drag force for asymptotically Lifshitz space times in (d + 2)-dimensions with arbitrary dynamical exponent $z$. We find that at zero and finite temperature the drag force has a non-zero value. Using the drag force calculations, we investigate the DC conductivity of strange metals.