Duality Invariant Magnetohydrodynamics And Dyons

TL;DR

This paper extends magnetohydrodynamics to plasmas with magnetic, electric charges, and dyons, revealing duality symmetry and analyzing the behavior of fields and currents in these extended systems.

Contribution

It introduces a duality-invariant MHD framework for plasmas with magnetic, electric charges, and dyons, showing equivalence to ordinary MHD under certain conditions.

Findings

Infinite conductivity leads to vanishing electric and magnetic fields.

Duality symmetry exists in plasmas with magnetic, electric charges, and dyons.

Dyonic MHD equations are equivalent to ordinary MHD after redefinitions.

Abstract

The theory of magnetohydrodynamics is extended to the cases of a plasma of separate magnetic and electric charges, as well as to a plasma of dyons respectively. In both these cases the system possesses electric-magnetic duality symmetry. In the former case we find that because of the existence of two independent generalized Ohm's law equations, the limit of infinite electric and magnetic conductivity results in the vanishing of both electric and magnetic fields, as well as the corresponding currents. In the dyonic case, we find that the resulting duality-invariant system of equations are equivalent to those of ordinary MHD, after suitable field redefinitions.