Living Inside the Horizon of the D3-Brane

TL;DR

This paper explores a brane world model within the interior horizon of a D3-brane, linking the horizon size to compactification and addressing the hierarchy problem through string theory and D3-brane charge.

Contribution

It presents a novel perspective on brane world scenarios by connecting the horizon inside a D3-brane to large extra dimensions and the hierarchy problem.

Findings

Horizon size can be interpreted as compactification scale.

Large extra dimensions arise from string theory with a single fundamental scale.

Hierarchy between string and Planck scales is explained via D3-brane charge.

Abstract

We consider a brane world residing in the interior region inside the horizon of the D3-brane. The horizon size then can be interpreted as the compactification size. The macroscopically large size of extra dimensions can be derived from the underlying string theory that has only one physical scale, {\it i.e.,} the string scale. Then, the hierarchy between the string scale and the Planck scale is provided by Ramon-Ramon charge of the D3-brane. This picture also offers a new perspective on various issues associated with the brane world scenarios including the cosmological constant.