Aspects of moduli stabilization in type IIB string theory

TL;DR

This paper reviews moduli stabilization in type IIB string theory, focusing on KKLT and LVS models, analyzing their phenomenological viability, cosmological implications, and issues like destabilization and backreaction effects.

Contribution

It provides a comparative analysis of KKLT and LVS moduli stabilization scenarios, highlighting phenomenological challenges and cosmological consequences.

Findings

KKLT soft SUSY breaking terms are phenomenologically unviable.

LVS predicts specific relations among scalar, gaugino, and trilinear masses.

Neutralino relic abundance is inconsistent with observations in LVS.

Abstract

We review moduli stabilization in type IIB string theory compactification with fluxes. We focus on the KKLT and Large Volume Scenario (LVS). We show that the predicted soft SUSY breaking terms in KKLT model are not phenomenological viable. In LVS, the following result for scalar mass, gaugino mass, and trilinear term is obtained: $m_0 =m_{1/2}= - A_0=m_{3/2}$, which may account for Higgs mass limit if $m_{3/2} \sim {\cal O}(1.5)$ TeV. However, in this case the relic abundance of the lightest neutralino can not be consistent with the measured limits. We also study the cosmological consequences of moduli stabilization in both models. In particular, the associated inflation models such as racetrack inflation and K\"ahler inflation are analyzed. Finally the problem of moduli destabilization and the effect of string moduli backreaction on the inflation models are discussed.