Holographic charge diffusion in non relativistic branes

TL;DR

This paper uses gauge/gravity duality to analyze charge diffusion in non-relativistic holographic models, revealing temperature-dependent scaling differences and potential violations of universal bounds in non-relativistic CFTs.

Contribution

It provides the first detailed computation of charge transport properties for non-relativistic CFTs with z=2 scaling using holography, highlighting deviations from relativistic cases.

Findings

Charge diffusion constant scales differently with temperature in non-relativistic backgrounds.

Potential violation of universal bounds on charge conductivity to susceptibility ratio.

Differences observed compared to AdS black brane cases.

Abstract

In this paper, based on the principles of gauge/gravity duality and considering the so called \textit{hydrodynamic} limit we compute various charge transport properties for a class of strongly coupled non relativistic CFTs corresponding to $ z=2 $ fixed point whose dual gravitational counter part could be realized as the consistent truncation of certain non relativistic $ Dp $ branes in the non extremal limit. From our analysis we note that unlike the case for the AdS black branes, the charge diffusion constant in the non relativistic background scales differently with the temperature. This shows a possible violation of the universal bound on the charge conductivity to susceptibility ratio in the context of non relativistic holography.