Universal properties of thermal and electrical conductivity of gauge theory plasmas from holography

TL;DR

This paper suggests a universal relationship between thermal conductivity and central charges in conformal field theories with gravity duals, enabling expression of electrical conductivity through thermodynamic quantities even with chemical potential.

Contribution

It introduces a universal formula linking thermal conductivity to central charges in holographic conformal field theories, supported by multiple examples.

Findings

Thermal conductivity is universally fixed by central charges.

Electrical conductivity can be expressed via thermodynamics with chemical potential.

The proposal aligns with several holographic examples.

Abstract

We propose that for conformal field theories admitting gravity duals, the thermal conductivity is fixed by the central charges in a universal manner. Though we do not have a proof as yet, we have checked our proposal against several examples. This proposal, if correct, allows us to express electrical conductivity in terms of thermodynamical quantities even in the presence of chemical potential.