A new class of de Sitter vacua in String Theory Compactifications

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 Kähler 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.

arXiv comment6 pages, 2 figures

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• Towards a complete mass spectrum of type-IIB flux vacua at large complex structure
• Inflation on a Slippery Slope
• Universal Class of Type-IIB Flux Vacua with Analytic Mass Spectrum
• O(16)$\times$O(16) heterotic theory on $Ad{S}_3\times S^3\times T^4$