Regular string-like braneworlds

TL;DR

This paper introduces a new smooth, thick string-like braneworld model in six dimensions with variable tension and AdS asymptotics, featuring localized massless modes and resonant massive modes near the brane.

Contribution

It proposes a novel class of six-dimensional thick string-like braneworlds with variable tension, deformed geometries, and localized massless modes, expanding the landscape of braneworld models.

Findings

Normalized massless scalar, gravitational, and gauge modes.

Presence of massive resonant modes near the brane.

Deformed solutions exhibit exotic asymptotic behavior.

Abstract

In this work, we propose a new class of smooth thick string-like braneworld in six dimensions. The brane exhibits a varying brane-tension and an $AdS$ asymptotic behavior. The brane-core geometry is parametrized by the Bulk cosmological constant, the brane width and by a geometrical deformation parameter. The source satisfies the dominant energy condition for the undeformed solution and has an exotic asymptotic regime for the deformed solution. This scenario provides a normalized massless Kaluza-Klein mode for the scalar, gravitational and gauge sectors. The near-brane geometry allows massive resonant modes at the brane for the $s$ state and nearby the brane for $l=1$.