Dilaton tadpoles and mass in warped models

TL;DR

This paper reviews sum rules in warped five-dimensional models, linking the absence of dilaton tadpoles to these rules and deriving conditions for dilaton mass and stabilization.

Contribution

It connects the absence of dilaton tadpoles to sum rules and provides a condition for stabilizing the dilaton mass in warped models.

Findings

Absence of dilaton tadpoles is linked to specific sum rules.

Derived a condition necessary for dilaton mass stabilization.

Calculated the dilaton mass term in warped models.

Abstract

We review the brane world sum rules of Gibbons at al for compact five dimensional warped models with identical four-geometries and bulk dynamics involving scalar fields with generic potential. We show that the absence of dilaton tadpoles in the action functional of the theory is linked to one of these sum rules. Moreover, we calculate the dilaton mass term and derive the condition that is necessary for stabilizing the system.