Spin-half bosonic classification

TL;DR

This paper introduces a new classification scheme for spin-half bosons with mass dimension three-half, revealing a symmetry with fermionic classifications and situating these particles within an extended spinor framework.

Contribution

It defines a novel spinor classification that includes spin-half bosons, linking them to existing fermionic classifications and expanding the theoretical understanding of such particles.

Findings

Spin-half bosons are classified as a specific subclass of class-2 spinors.

The classification reveals a symmetry between bosonic and fermionic spinors.

The theory provides a local, first-order equation for these bosons.

Abstract

In this paper, we define a new spinor classification that encompasses the recently proposed spin-half bosons with mass dimension three-half. As it will be shown, these particles, which are governed by a first-order equation and consequently provide a local theory, belong to a specific subclass of class-2 spinors within the bosonic classification, playing a similar role to Dirac spinors within the Lounesto classification. Such bosonic classification is shown to be closely connected with the usual fermionic Lounesto classification, and thus, evincing a symmetry between Dirac fermions and spin-half bosons.