Holographic electrical and thermal conductivity in strongly coupled gauge theory with multiple chemical potentials

TL;DR

This paper investigates electrical and thermal transport properties in strongly coupled gauge theories with multiple chemical potentials, revealing a Wiedemann-Franz-like law in such complex systems.

Contribution

It provides the first detailed calculation of DC-electrical and thermal conductivities in gauge theories with multiple chemical potentials using holography.

Findings

Electrical conductivity computed at finite and zero temperature.

Thermal conductivity obeys a Wiedemann-Franz-like law.

Viscosity also follows the same law in these systems.

Abstract

We study transport coefficients of strongly coupled gauge theory in the presence of multiple chemical potential which are dual to rotating D3, M2 and M5 brane. Using the general form of the perturbation equations, we compute DC-electrical conductivity at finite temperature as well as at zero temperature. We also study thermal conductivity for the same class of black holes and show that thermal conductivity and viscosity obeys Wiedemann-Franz like law even in the presence of multiple chemical potential.