# Localization of Vector Field on Pure Geometrical Thick Brane

## TL;DR

This paper explores how to localize a five-dimensional vector field on a pure geometrical thick brane by introducing interactions with a background scalar field, overcoming previous localization challenges.

## Contribution

It proposes two types of couplings between the vector and scalar fields that enable localization of the vector zero mode on the thick brane.

## Key findings

- Vector zero mode can be localized with specific couplings.
- Two potential types facilitate localization: volcano and square-well-like.
- Localization depends on certain conditions for the couplings.

## Abstract

In this paper, we investigate the localization of a five-dimensional vector field on a pure geometrical thick brane. In previous work, it was shown that a free massless vector field cannot be localized on such thick brane. Hence we introduce the interaction between the vector field and the background scalar field. Two types of couplings are constructed as examples. We get a typical volcano potential for the first type of coupling and a finite square-well-like potential for the second one. Both of the two types of couplings ensure that the vector zero mode can be localized on the pure geometrical thick brane under some conditions.