Brane World Scenario with m-form field: Stabilisation of Radion Modulus and Self Tuning Solutions

TL;DR

This paper explores a higher-dimensional brane world model with an m-form field, demonstrating its ability to stabilize the radion modulus without fine tuning and presenting self-tuning solutions.

Contribution

It introduces a novel stabilization mechanism using an m-form field in a higher-dimensional brane setup, avoiding fine tuning and providing self-tuning solutions.

Findings

Radion modulus can be stabilized without fine tuning.

Self-tuning solutions are achievable in this setup.

The m-form field effectively influences the bulk dynamics.

Abstract

We consider (n + m + 1) dimensional bulk spacetime, containing flat (n + m - 1) dimensional parallel branes, with topology R^{n - 1} \times T^m. We assume that the graviton and an m-form field are the only bulk fields and that the m-form field has non vanishing components along the T^m directions only. We then find that the m-form field, with suitable bulk and brane potentials, can stabilise the radion modulus at the required value with no fine tuning. We find self tuning solutions also.