A new class of de Sitter vacua in String Theory Compactifications

Understand

We revisit the stability of the complex structure moduli in the large volume regime of type-IIB flux compactifications.

• We argue that when the volume is not exponentially large, such as in K\"ahler uplifted dS vacua, the quantum corrections to the tree-level mass spectrum can induce tachyonic instabilities in this sector.
• We discuss a Random Matrix Theory model for the classical spectrum of the complex structure fields, and derive a new stability bound involving the compactification volume and the (very large) number of moduli.
• We also present a new class of vacua for this sector where the mass spectrum presents a finite gap, without invoking large supersymmetric masses.