On the bilinear covariants associated to mass dimension one spinors

TL;DR

This paper investigates the mathematical structure of Elko spinors, focusing on Clifford algebra basis deformation and bilinear covariants, and explores their covariance and dual structures.

Contribution

It provides a comprehensive analysis of bilinear covariants for Elko spinors, including basis deformation and dual structure generalizations.

Findings

Bilinear covariants satisfy Fierz-Pauli-Kofink identities

Complete covariance analysis of Elko spinors

Generalizations to new dual structures explored

Abstract

In this paper we approach the issue of Clifford algebra basis deformation, allowing for bilinear covariants associated to Elko spinors which satisfy the Fierz-Pauli-Kofink identities. We present a complete analysis of covariance, taking into account the involved dual structure associated to Elko. Moreover, the possible generalizations to the recently presented new dual structure are performed.