Graviton Kaluza Klein modes in non-flat branes with stabilised modulus

TL;DR

This paper investigates how non-zero cosmological constants on branes affect the mass spectrum of Kaluza-Klein gravitons and the stability of the modulus in a generalized Randall Sundrum model, confirming the robustness of the Goldberger-Wise mechanism.

Contribution

It extends the analysis of modulus stabilization and KK graviton modes to non-flat branes with large cosmological constants, showing the mechanism's continued validity.

Findings

KK graviton masses vary with brane cosmological constant

Goldberger-Wise stabilization remains effective with large cosmological constants

Discussion of conditions for a global minimum of the modulus

Abstract

We consider a generalised two brane Randall Sundrum model where the branes are endowed with non-zero cosmological constant. In this scenario, we re-examine the modulus stabilisation mechanism and the nature of Kaluza Klein (KK) graviton modes. Our result reveals that while the KK mode graviton masses may change significantly with brane cosmological constant, the Goldberger-Wise stabilisation mechanism, which assumes negligible backreaction on the background metric, continues to hold even when the branes have large cosmological constant. The possibility of having a global minimum for the modulus is also discussed.