Supersymmetric content of the Dirac and Duffin-Kemmer-Petiau equations

TL;DR

This paper reveals that subsolutions of the Dirac and Duffin-Kemmer-Petiau equations satisfy a common supersymmetric covariant equation with both bosonic and fermionic features.

Contribution

It demonstrates that subsolutions of these equations obey a unified supersymmetric Dirac equation with a built-in projection operator.

Findings

Subsolutions of Dirac and Duffin-Kemmer-Petiau equations obey the same covariant equation.

The unified equation exhibits supersymmetric properties with bosonic and fermionic degrees of freedom.

The approach provides a new perspective on the relationship between these fundamental equations.

Abstract

We study subsolutions of the Dirac and Duffin-Kemmer-Petiau equations described in our earlier papers. It is shown that subsolutions of the Duffin-Kemmer-Petiau equations and those of the Dirac equation obey the same Dirac equation with some built-in projection operator. This covariant equation can be referred to as supersymmetric since it has bosonic as well as fermionic degrees of freedom.