Further investigation of mass dimension one fermionic duals

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.

arXiv comment6 pages. Published in Phys. Lett. A

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• Hearing the shape of inequivalent spin structures and exotic Dirac operators
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• Sensitivity of accelerator-based neutrino experiments to neutrino-dark matter interaction: Elko as a viable dark matter candidate
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• Singular spinors as expansion coefficients of local spin-half fermionic and bosonic fields: On the two-fold Wigner degeneracy
• Spinor Adjoints, Gauge Invariance and a new Road to Sterile Neutrinos
• Exploiting new classes of mass-dimension one fermions
• A note on hidden classes in spinor classification
• A Covariant Framework for Generalized Spinor Dual Structures
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• Hermitian formulation for mass dimension one fermions: Flat and curved space-times
• New constrained generalized Killing spinor field classes in warped flux compactifications
• Unraveling the Physical Meaning Behind Elko's Dual structure