Relativistic Conformal Magneto-Hydrodynamics from Holography

TL;DR

This paper uses holography to develop a consistent first-order relativistic magneto-hydrodynamics framework for (2+1)D conformal fluids, addressing previous inconsistencies and introducing new dissipative transport coefficients.

Contribution

It proposes additional entropy-motivated dissipative contributions and demonstrates their consistency using holographic M2-brane plasma in magnetic fields.

Findings

New dissipative transport coefficients identified.

Consistent shear and sound wave behavior shown.

Addresses previous inconsistencies in magneto-hydrodynamics.

Abstract

We use the AdS/CFT correspondence to study first-order relativistic viscous magneto-hydrodynamics of (2+1) dimensional conformal magnetic fluids. It is shown that the first order magneto-hydrodynamics constructed following Landau and Lifshitz from the positivity of the entropy production is inconsistent. We propose additional contributions to the entropy motivated dissipative current and, correspondingly, new dissipative transport coefficients. We use the strongly coupled M2-brane plasma in external magnetic field to show that the new magneto-hydrodynamics leads to self-consistent results in the shear and sound wave channels.