Smooth braneworld in $6$-dimensional asymptotically AdS spacetime

TL;DR

This paper presents a 6-dimensional thick braneworld model with a scalar field, achieving localization of gauge fields and gravitons in an asymptotically AdS spacetime, addressing issues in lower-dimensional models.

Contribution

It introduces a novel 6D smooth braneworld with a $ ext{AdS}_6$ bulk, demonstrating gauge field and graviton localization, and analyzing system stability.

Findings

Successful localization of $U(1)$ gauge fields.

Stable braneworld configuration.

Graviton localization achieved.

Abstract

In this paper, we investigate a $6$-dimensional smooth thick braneworld model which contains a compact extra dimension and an infinite large one. The braneworld is generated by a real scalar field with a $\phi^6$ potential and the bulk is asymptotically $\text{AdS}_6$ spacetime. The geometry achieves the localization of the free $U(1)$ gauge field, which is a problem in the $5$-dimensional Randall-Sundrum-like models. In addition, we analyze the stability of the braneworld system and the localization of gravitons.