Langevin Diffusion Coefficients Ratio in STU Model with Higher Derivative Corrections

TL;DR

This paper investigates how higher derivative corrections affect Langevin diffusion coefficients in a five-dimensional STU model, revealing the influence of black hole charge and confirming a universal ratio behavior.

Contribution

It provides the first analysis of Langevin diffusion coefficients with higher derivative corrections in the STU model, highlighting the impact of black hole charge on these coefficients.

Findings

Black hole charge influences the diffusion coefficients ratio.

The universal behavior of the transverse to longitudinal ratio is confirmed.

Higher derivative corrections modify the diffusion coefficients in the model.

Abstract

In this letter, we study Langevin diffusion coefficients for the five dimensional $\mathcal{N}=2$ STU model in presence of higher derivative corrections. We obtained effect of black hole charge, corresponding to the chemical potential, on the Langevin diffusion coefficients ratio. We confirm universal behavior of transverse to longitudinal ratio of coefficients.