A new class of de Sitter vacua in String Theory Compactifications

TL;DR

This paper investigates the stability of complex structure moduli in type-IIB flux compactifications, revealing conditions under which tachyonic instabilities can be avoided and introducing a new class of stable vacua with a finite mass gap.

Contribution

It introduces a new stability bound involving volume and moduli number, and presents a novel class of vacua with protected complex structure sectors at non-exponential volumes.

Findings

Quantum corrections can induce instabilities in certain regimes.

A new stability bound involving volume and moduli number is derived.

A class of vacua with a finite mass gap and stable complex structure sector is proposed.

Abstract

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. At these vacua the complex structure sector is protected from tachyonic instabilities even at non-exponential volumes. A distinguishing feature is that all fermions in this sector are lighter than the gravitino.