Some Reflections on Moduli, Their Stabilization and Cosmology

TL;DR

This paper reviews the nature of moduli in string theory, discusses their stabilization mechanisms, and explores implications for cosmology and low-energy supersymmetry, emphasizing the importance of approximate moduli spaces.

Contribution

It highlights the significance of approximate moduli spaces in string theory and examines potential mechanisms for moduli stabilization and their cosmological implications.

Findings

Evidence for non-perturbative existence of approximate moduli spaces

Discussion of mechanisms for fixing moduli

Proposed solutions to cosmological moduli problems

Abstract

We review some aspects of moduli in string theory. We argue that one should focus on {\it approximate moduli spaces}, and that there is evidence that such spaces exist non-perturbatively. We ask what it would mean for string theory to predict low energy supersymmetry. Aspects of two proposed mechanisms for fixing the moduli are discussed, and solutions to certain cosmological problems associated with moduli are proposed.