Supersymmetrization of Quaternion Dirac Equation for Generalized Fields of Dyons

TL;DR

This paper extends the quaternion Dirac equation to include generalized electromagnetic fields of dyons, establishing supersymmetry and analyzing duality invariance between electric and magnetic components.

Contribution

It introduces a supersymmetric framework for the quaternion Dirac equation with dyons and explores duality invariance in this context.

Findings

Supersymmetry is established for the quaternion Dirac equation with dyons.

Explicit forms of Dirac spinors for various energy and spin states are derived.

Duality invariance between electric and magnetic constituents of dyons is demonstrated.

Abstract

The quaternion Dirac equation in presence of generalized electromagnetic field has been discussed in terms of two gauge potentials of dyons. Accordingly, the supersymmetry has been established consistently and thereafter the one, two and component Dirac Spinors of generalized quaternion Dirac equation of dyons for various energy and spin values are obtained for different cases in order to understand the duality invariance between the electric and magnetic constituents of dyons.