# Modulus stabilization in a non-flat warped braneworld scenario

## TL;DR

This paper explores modulus stabilization in a generalized warped braneworld with de-Sitter branes, showing that brane vacuum energy naturally creates a metastable minimum, potentially resolving the gauge hierarchy problem without external scalar fields.

## Contribution

It demonstrates that brane vacuum energy in a de-Sitter warped geometry can stabilize the modulus without additional scalar fields, extending the Randall-Sundrum model.

## Key findings

- Brane vacuum energy induces a metastable modulus potential.
- Stability achieved without external scalar fields.
- Possible resolution of the gauge hierarchy problem.

## Abstract

The stability of the modular field in a warped brane world scenario has been a subject of interest for a long time. Goldberger \& Wise ( GW ) proposed a mechanism to achieve this by invoking a massive scalar field in the bulk space-time neglecting the back-reaction. In this work, we examine the possibility of stabilizing the modulus without bringing in any external scalar field. We show that instead of flat 3-branes as considered in Randall-Sundrum ( RS ) warped braneworld model, if one considers a more generalized version of warped geometry with de-Sitter 3-brane, then the brane vacuum energy automatically leads to a modulus potential with a metastable minimum. Our result further reveals that in this scenario the gauge hierarchy problem can also be resolved for appropriate choice of brane cosmological constant.