Stable two--brane models with bulk tachyon matter

TL;DR

This paper constructs and analyzes stable two-brane models with bulk tachyon matter, demonstrating their potential to resolve the hierarchy problem and maintain stability, offering alternatives to the Randall--Sundrum scenario.

Contribution

It introduces two novel warped two-brane models with bulk tachyon matter, showing they can achieve hierarchy resolution and stability.

Findings

Stable inter-brane moduli found in both models

Models successfully address hierarchy problem

Bulk tachyon field generates stable geometry

Abstract

We explore the possibility of constructing stable, warped two--brane models which solve the hierarchy problem, with a bulk non--canonical scalar field (tachyon matter) as the source term in the action. Among our examples are two models--one with a warp factor (denoted as $e^{-2f(\sigma)}$) which differs from that of the standard Randall--Sundrum by the addition of a quadratic piece in the $f(\sigma)$ and another, where the warping is super-exponential. We investigate the issue of resolution of hierarchy and perform a stability analysis by obtaining the effective inter-brane potentials, in each case. Our analysis reveals that there does exist stable values of the modulus consistent with hierarchy resolution in both the models. Thus, these models, in which the bulk scalar field generates the geometry and also ensures stability, provide viable alternatives to the standard Randall--Sundrum two-brane scenario.