Exotic Elko on String-Like Defects in Six Dimensions

Abstract

We analyse the trapping of eigenspinors of the charge conjugation operator with dual helicity (Elko), in thin and thick string-like models with codimension-2. Elko spinor fields describe mass dimension one fermions in four dimensions (and, correspondingly, mass dimension two fermions in six dimensions), that represent natural dark matter prime candidates. This dark spinor has many applications, from particle physics to cosmology. On the other hand, six-dimensional brane-world models have, among other prominent features, the spontaneous confinement of free spin 1 fields and a mechanism that explains the mass hierarchy of fundamental fermions. In this paper, we use scalar couplings in order to confine the zero mode of Elko in six dimensions. Moreover, we use the Elko dark spinor features to propose an exotic coupling in order to remove the complex-valued terms in the massive Kaluza-Klein modes. Hence, we show that six dimensional models can resolve the main issues of Elko fields confinement presented in five dimensions.

16 pages, 6 figures. Replaced in order to match modified version accepted in EPL

References in corpus (19)

• Very Special Relativity
• Stability of the graviton Bose-Einstein condensate in the brane-world
• The Einstein-Cartan-Elko system
• A Natural origin for the LHCb anomalies
• 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
• Localization of Fermions on a String-like Defect
• Solutions to the problem of ELKO spinor localization in brane models
• Zero Energy of Plane-Waves for ELKOs
• Bounds on topological Abelian string-vortex and string-cigar from information-entropic measure
• Questing for Algebraic Mass Dimension One Spinor Fields
• Constraints on mass dimension one fermionic dark matter from the Yukawa interaction
• Elko and mass dimension one field of spin one half: causality and Fermi statistics
• On Gravity localization under Lorentz Violation in warped scenario
• Multiresonance modes in sine-Gordon brane models
• Gravitational Kaluza-Klein modes in the String-Cigar Braneworld
• Conductivity bounds in probe brane models

Cited by in corpus (12)

• Mass dimension one fermions: Constructing darkness
• Localization of five-dimensional Elko spinors with non-minimal coupling on thick branes
• The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory
• 5D Elko spinor field non-minimally coupled to nonmetricity in $f(Q)$ gravity
• Exotic fermionic fields and minimal length
• The Heisenberg spinor field classification and its interplay with the Lounesto's classification
• Hearing the shape of inequivalent spin structures and exotic Dirac operators
• Monopoles on string-like models and the Coulomb's law
• Refinements of the Weyl pure geometrical thick branes from information-entropic measure
• Emergent spinor fields from exotic spin structures
• Wigner multiplets in QFT: from Wigner degeneracy to Elko fields
• Wigner multiplets in QFT: dark sector and CPT-violating scenarios