The Scale of Inflation in the Landscape

Abstract

We determine the frequency of regions of small-field inflation in the Wigner landscape as an approximation to random supergravities/type IIB flux compactifications. We show that small-field inflation occurs exponentially more often than large-field inflation The power of primordial gravitational waves from inflation is generically tied to the scale of inflation. For small-field models this is below observational reach. However, we find small-field inflation to be dominated by the highest inflationary energy scales compatible with a sub-Planckian field range. Hence, we expect a typical tensor-to-scalar ratio $r\sim \mathcal{O}(10^{-3})$ currently undetectable in upcoming CMB measurements.

revtex, 6 pages, 3 figures

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• Statistical Predictions in String Theory and Deep Generative Models
• Random matrix ensembles involving Gaussian Wigner and Wishart matrices, and biorthogonal structure
• Perturbative Stability along the Supersymmetric Directions of the Landscape
• Inflation with a graceful exit in a random landscape
• Initial conditions for slow-roll inflation in a random Gaussian landscape
• The Spectra of Type IIB Flux Compactifications at Large Complex Structure
• Local random potentials of high differentiability to model the Landscape
• A Smooth Landscape: Ending Saddle Point Inflation Requires Features to be Shallow
• Inflation on a Slippery Slope
• Spectral statistics for the difference of two Wishart matrices
• A Local Wheeler-DeWitt Measure for the String Landscape
• Non-Equilibrium Random Matrix Theory : Transition Probabilities