VSR symmetries in the DKP algebra: the interplay between Dirac and Elko spinor fields

Abstract

VSR symmetries are here naturally incorporated in the DKP algebra on the spin-0 and the spin-1 DKP sectors. We show that the Elko (dark) spinor fields structure plays an essential role on accomplishing this aim, unravelling hidden symmetries on the bosonic DKP fields under the action of discrete symmetries.

17 pages

References in corpus (11)

• Very Special Relativity
• The Einstein-Cartan-Elko system
• From Dirac spinor fields to ELKO
• Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
• Dynamical dispersion relation for ELKO dark spinor fields
• Very special relativity as relativity of dark matter: the Elko connection
• Exotic Dark Spinor Fields
• Hawking Radiation from Elko Particles Tunnelling across Black Strings Horizon
• The quadratic spinor Lagrangian, axial torsion current, and generalizations
• Exact solutions to Elko spinors in spatially flat Friedmann-Robertson-Walker spacetimes
• Corroborating the equivalence between the Duffin-Kemmer-Petiau and the Klein-Gordon and Proca equations

Cited by in corpus (28)

• The theory of local mass dimension one fermions of spin one half
• Constraints on mass dimension one fermionic dark matter from the Yukawa interaction
• ELKO fermions as dark matter candidates
• A generally-relativistic gauge classification of the Dirac fields
• Localization of five-dimensional Elko spinors with non-minimal coupling on thick branes
• Elko and mass dimension one field of spin one half: causality and Fermi statistics
• Torsion Gravity for Dirac Fields
• General Dynamics of Spinors
• Unveiling Mapping Structures of Spinor Duals
• Polar Form of Spinor Fields from Regular to Singular: the Flag-Dipoles
• Opening the Pandora's box of quantum spinor fields
• Spinor Fields, Singular Structures, Charge Conjugation, ELKO and Neutrino Masses
• Fermionic degeneracy and non-local contributions in flag-dipole spinors and mass dimension one fermions
• Geometry, Zitterbewegung, Quantization
• Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction
• ELKO in Polar Form
• Symmetries and unitary interactions of mass dimension one fermionic dark matter
• On Wigner Degeneracy in Elko theory: Hermiticity and Dark Matter
• Torsion Axial Vector and Yvon-Takabayashi Angle: Zitterbewegung, Chirality and all that
• Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential
• The Heisenberg spinor field classification and its interplay with the Lounesto's classification
• Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
• Quantum dynamics of relativistic bosons through nonminimal vector square potentials
• An alternative approach concerning Elko spinors and the hidden unitarity
• The Tensorial Connections
• Localization of five-dimensional Elko Spinors on dS/AdS Thick Branes
• The Lagrangian for mass dimension one fermionic dark matter
• Additional fermionic fields onto parallelizable 7-spheres