Moduli Stabilization in a de Sitter Compactification Model

TL;DR

This paper explores stabilizing moduli in a de Sitter compactification model by combining classical tuning for the volume modulus with quantum effects for the warp modulus, achieving comprehensive stabilization.

Contribution

It introduces a novel stabilization mechanism that effectively stabilizes both volume and warp moduli using quantum effects, extending previous classical approaches.

Findings

Volume modulus fixed by tuning gauge fields, curvature, and cosmological constant

Warp modulus stabilized through quantum effects

Both moduli can be efficiently stabilized in the model

Abstract

We discuss the moduli stabilization in a de Sitter compactification model obtained coupling D-dimensional gravity to scalar and gauge fields. This class of models is characterized by two moduli: one related to the volume of the internal space, the other to the warp factor. While the volume modulus can be fixed by appropriately tuning the gauge field strength, curvature of the internal space, and cosmological constant, the same mechanism does not work for the warp modulus. In this paper we discuss a stabilization mechanism based on quantum effects and show that both moduli can be efficiently stabilized.