# Localization of five-dimensional Elko Spinors on dS/AdS Thick Branes

## TL;DR

This paper explores how to localize five-dimensional Elko spinors on de Sitter and Anti-de Sitter thick branes using Yukawa-type and non-minimal couplings, demonstrating both mechanisms' effectiveness.

## Contribution

It introduces two mechanisms for localizing Elko zero modes on branes, expanding understanding of Elko spinor behavior in higher-dimensional models.

## Key findings

- Both coupling mechanisms successfully localize the Elko zero mode.
- The coupling functions have similar properties and roles in localization.
- Localization is achievable on both dS and AdS thick branes.

## Abstract

Different from the Dirac spinor, the localization of a five-dimensional Elko spinor on a brane with codimension one is very difficult because of the special structure of the Elko spinor. By introducing the coupling between the Elko spinor and the scalar field generating the brane, we have two mechanisms for localization of the zero mode of a five-dimensional Elko spinor on a brane. One is the Yukawa-type coupling and the other is the non-minimal coupling. In this paper, we investigate the localization of the Elko zero mode on de Sitter and Anti-de Sitter thick branes with the two localization mechanisms, respectively. It shows that both the mechanisms can realize the localization. The forms of the coupling functions of the scalar field in the two mechanisms have similar properties respectively and they play similar role for the localization.