Remark on integrating out heavy moduli in flux compactification

TL;DR

This paper examines the process of integrating out heavy moduli in type IIB flux compactifications with gaugino condensations, focusing on the conditions and detailed potential analysis for specific compactification models.

Contribution

It provides a detailed analysis of moduli stabilization steps, including conditions for integrating out heavy moduli and explicit potential minima in simplified compactification models.

Findings

Conditions for integrating out heavy moduli are established.

Explicit potential minima are identified for specific compactification models.

The analysis includes models with different Hodge numbers.

Abstract

We study two steps of moduli stabilization in type IIB flux compactification with gaugino condensations. We consider the condition that one can integrate out heavy moduli first with light moduli remaining. We give appendix, where detail study is carried out for potential minima of the model with a six dimensional compact space with $h_{1,1}=h_{2,1}=1$, including the model, whose respective moduli with $h_{1,1}, h_{2,1} \neq 1$ are identified.