# Further investigation of mass dimension one fermionic duals

## TL;DR

This paper advances the formalization of a consistent dual theory for mass dimension one spinors by analyzing its algebraic structure and $ au$-deformation, establishing its Lorentz invariance and mathematical consistency.

## Contribution

It demonstrates the algebraic equivalence of the Lorentz preserving dual with Clifford algebra duals and clarifies the automorphism structure and $ au$-deformation in the dual theory.

## Key findings

- The dual is mathematically equivalent to Clifford algebra duals.
- The dual preserves Lorentz symmetry.
- The theory is based on a solid algebraic and automorphism framework.

## Abstract

In this paper we proceed into the next step of formalization of a consistent dual theory for mass dimension one spinors. This task is developed approaching the two different and complementary aspects of such duals, clarifying its algebraic structure and the so called $\tau-$deformation. The former regards the mathematical equivalence of the recent proposed Lorentz preserving dual with the duals of algebraic spinors, from Clifford algebras, showing the consistency and generality of the new dual. Moreover, by revealing its automorphism structure, the hole of the $\tau-$deformation and contrasting the action group orbits with other Lorentz breaking scenarios, we argue that the new mass dimension one dual theory is placed over solid and consistent basis.