Exotic Elko on String-Like Defects in Six Dimensions

TL;DR

This paper investigates the confinement of Elko dark spinor fields in six-dimensional string-like models, proposing mechanisms to improve their localization and address issues found in five-dimensional scenarios.

Contribution

It introduces a novel approach to confine Elko spinors in six dimensions using scalar couplings and exotic interactions, enhancing localization compared to five-dimensional models.

Findings

Successful confinement of Elko zero modes in six dimensions

Removal of complex terms in Kaluza-Klein modes

Resolution of confinement issues present in five-dimensional models

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.