Fully controlled construction of metastable de Sitter vacua in string theory

Establish the existence of fully controlled metastable de Sitter vacua in string theory by providing a concrete construction that includes all required ingredients and affords complete computational control.

Background

In discussing moduli stabilization and realistic string vacua, the authors note that although significant progress has been made, a definitive, fully controlled construction of metastable de Sitter vacua has not yet been achieved. This remains a central challenge in string phenomenology and impacts the broader program of connecting string theory to cosmology.

They cite recent state-of-the-art efforts while emphasizing that the problem remains unresolved, framing it as a key open question underlying aspects of their study of cosmological dynamics and gravitational-wave phenomenology.