A New Class of de Sitter Vacua in Type IIB Large Volume Compactifications

Abstract

We construct a new class of metastable de Sitter vacua of flux compactifications of type IIB string theory. These solutions provide a natural extension of the `Large Volume Scenario' anti-de Sitter vacua, and can analogously be realised at parametrically large volume and weak string coupling, using standard $\mathcal{N}=1$ supergravity. For these new vacua, a positive vacuum energy is achieved from the inclusion of a small amount of flux-induced supersymmetry breaking in the complex structure and axio-dilaton sector, and no additional `uplift' contribution (e.g.~from anti-branes) is required. We show that the approximate no-scale structure of the effective theory strongly influences the spectrum of the stabilised moduli: one complex structure modulus remains significantly lighter than the supersymmetry breaking scale, and metastability requires only modest amounts of tuning. After discussing these general results, we provide a recipe for constructing de Sitter vacua on a given compactification manifold, and give an explicit example of a de Sitter vacuum for the compactification on the Calabi-Yau orientifold realised in ${\mathbb{CP}}_{11169}^4$. Finally, we note that these solutions have intriguing implications for phenomenology, predicting no superpartners in the spectrum below $\sim$50 TeV, and no WIMP dark matter.

34 pages

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• Early Dark Energy in Type IIB String Theory
• Geometrical Destabilisation of Ultra-Light Axions in String Inflation
• Moduli Stabilisation and the Statistics of Axion Physics in the Landscape
• Resolving spacetime singularities in flux compactifications & KKLT
• Moduli Stabilisation and the Statistics of SUSY Breaking in the Landscape
• Superheavy Dark Matter from String Theory
• Winding Uplifts and the Challenges of Weak and Strong SUSY Breaking in AdS
• The Dark Universe after Reheating in String Inflation
• On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes
• On the Search for Low $W_0$
• Back to the origins of brane-antibrane inflation
• Aligned Natural Inflation in the Large Volume Scenario
• Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino
• O(16)$\times$O(16) heterotic theory on $Ad{S}_3\times S^3\times T^4$
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