Exploiting new classes of mass-dimension one fermions

TL;DR

This paper introduces a new class of spin-half mass-dimension one fermions derived from specific eigenvectors of a square root of the identity matrix, with potential applications in local field theory.

Contribution

It identifies and characterizes a novel class of fermions using eigenvectors of a square root of the identity, expanding the theoretical framework of fermionic fields.

Findings

New class of fermions identified

Eigenvector-based expansion coefficients proposed

Potential for local field applications

Abstract

In this paper, we advance in investigating a specific set of eigenvectors of a linearly-independent square root of the identity matrix to obtain a new class of spin-half mass-dimension one fermions. Such eigenvectors, after an appropriated dual structure examination, may serve as expansion coefficients of a local field.