Mass Hierarchy and Trapping of Gravity

TL;DR

This paper presents a model with multiple D3-branes in a 5D anti-de Sitter space that naturally explains the mass hierarchy and graviton trapping, potentially accommodating multiple disparate mass scales like the electroweak and GUT scales.

Contribution

It introduces a new D3-brane model that achieves exponential mass hierarchy and graviton trapping in a five-dimensional setting, with flexibility for multiple mass scales.

Findings

Realizes exponential mass hierarchy between Planck and electroweak scales.

Demonstrates graviton trapping on D3-branes.

Suggests potential to explain multiple mass scales on the same brane.

Abstract

We construct a model consisting of many D3-branes with only positive tension in a five-dimensional anti-de Sitter space-time geometry. It is shown that this type of model naturally realizes not only exponential mass hierarchy between the Planck scale and the electroweak scale but also trapping of the graviton on the D3-branes. It is pointed out that our model may have a flexibility to explain the existence of more than one disparate mass scales, such as the electroweak scale and the GUT scale, on the same D3-brane.