Remarks on the effects of quantum corrections on moduli stabilization and de Sitter vacua in type IIB string theory

TL;DR

This paper investigates how string loop corrections and non-perturbative effects influence moduli stabilization and the realization of de Sitter vacua in type IIB string theory, with implications for cosmology.

Contribution

It provides a comprehensive analysis of combined loop and non-perturbative effects on moduli stabilization and de Sitter vacua in type IIB string compactifications.

Findings

Multiple flux configurations can stabilize moduli and produce de Sitter vacua.

The effective potential simplifies at large volumes, aiding cosmological model building.

The results suggest promising avenues for string cosmology applications.

Abstract

The r\^ole of string loop corrections on the existence of de Sitter vacua and the moduli stabilization problem is examined in type IIB effective theories. The fundamental building blocks are a minimum of three intersecting D7 brane stacks, three K\"ahler moduli, and a novel Einstein-Hilbert term associated with higher derivative terms of the 10-dimensional effective action. It was shown in previous works that loop corrections appear which induce novel logarithmic volume-dependent terms in the effective potential. When D-term contributions are considered, all K\"ahler moduli are stabilized and de Sitter vacua are achieved. In the present work, a comprehensive study of multiple non-perturbative terms in the superpotential is undertaken. The combined effects of the logarithmic loop corrections and two non-perturbative superpotential K\"ahler moduli dependent terms have been investigated. It is shown that a variety of fluxes exist for large as well as moderate volume compactifications which define a de Sitter space and stabilize the moduli fields. For large volumes, a generic simple form of the potential is achieved. The so obtained effective potential appears to be promising for cosmological applications.