Moduli Evolution in the Presence of Matter Fields and Flux Compactification
Carsten van de Bruck, Ki-Young Choi, Lisa M.H. Hall

TL;DR
This paper analyzes how matter fields and flux influence the evolution and stabilization of moduli in string compactifications, demonstrating that matter fields can assist in stabilizing moduli and uplifting vacua.
Contribution
It provides a combined analytical and numerical study of moduli dynamics with matter fields and background fluids, revealing new stabilization mechanisms in the KKLT scenario.
Findings
Matter fields aid moduli stabilization
Background fluids help uplift vacua
New scaling regime enhances stabilization
Abstract
We provide a detailed analysis of the dynamics of moduli fields in the KKLT scenario coupled to a Polonyi field, which plays the role of a hidden matter sector field. It was previously shown that such matter fields can uplift AdS vacua to Minkowski or de Sitter vacua. Additionally, we take a background fluid into account (which can be either matter or radiation), which aids moduli stabilisation. Our analysis shows that the presence of the matter field further aids stabilisation, due to a new scaling regime. We study the system both analytically and numerically.
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