Dilaton tadpoles and mass 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.