Inflation near a metastable de Sitter vacuum from moduli stabilisation

Abstract

We study the cosmological properties of a metastable de Sitter vacuum obtained recently in the framework of type IIB flux compactifications in the presence of three D7-brane stacks, based on perturbative quantum corrections at both world-sheet and string loop level that are dominant at large volume and weak coupling. In the simplest case, the model has one effective parameter controlling the shape of the potential of the inflaton which is identified with the volume modulus. The model provides a phenomenological successful small-field inflation for a value of the parameter that makes the minimum very shallow and near the maximum. The horizon exit is close to the inflection point while most of the required e-folds of the Universe expansion are generated near the minimum, with a prediction for the ratio of tensor-to-scalar primordial fluctuations $r\sim 4\times 10^{-4}$. Despite its shallowness, the minimum turns out to be practically stable. We show that it can decay only through the Hawking-Moss instanton leading to an extremely long decay rate. Obviously, in order to end inflation and obtain a realistic model, new low-energy physics is needed around the minimum, at intermediate energy scales of order $10^{12}$ GeV. An attractive possibility is by introducing a "waterfall"' field within the framework of hybrid inflation.

arXiv comment25 pages, 9 figures; v2: published version, minor corrections

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• Probing the Supersymmetry-Mass Scale With F-term Hybrid Inflation
• Chiral global embedding of Fibre Inflation with $\overline{D3}$ uplift
• On stable type IIA de-Sitter vacua with geometric flux
• Inflating in perturbative LVS: Global Embedding and Robustness
• Single field slow-roll effective potential from Kähler moduli stabilizations in type IIB/F-theory
• Global Embedding of Fibre Inflation in Perturbative LVS
• Lectures in Quantum Gravity
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• Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
• Assisted Fibre Inflation in Perturbative LVS
• Hybrid Inflation, Reheating and Dark Radiation in a IIB perturbative moduli stabilization scenario
• Supersymmetric Horizons at the Edge of Effective Field Theory
• Systematic exploration of the non-geometric flux landscape
• Inflationary $\alpha$-Attractor From Type IIB/F Theory