Preference for a Vanishingly Small Cosmological Constant in Supersymmetric Vacua in a Type IIB String Theory Model
arXiv:1211.6858 · doi:10.1016/j.physletb.2013.05.027
Abstract
We study the probability distribution P(Λ) of the cosmological constant Λin a specific set of KKLT type models of supersymmetric IIB vacua. We show that, as we sweep through the quantized flux values in this flux compactification, P(Λ) behaves divergent at Λ=0^- and the median magnitude of Λdrops exponentially as the number of complex structure moduli h^{2,1} increases. Also, owing to the hierarchical and approximate no-scale structure, the probability of having a positive Hessian (mass squared matrix) approaches unity as h^{2,1} increases.
6 pages, 2 figures; v2: version to appear in PLB
References in corpus (2)
Cited by in corpus (14)
- On the distribution of stable de Sitter vacua
- A note on obstinate tachyons in classical dS solutions
- Finding all flux vacua in an explicit example
- Predictions in multifield models of inflation
- Perturbative Stability along the Supersymmetric Directions of the Landscape
- Compactifying de Sitter Naturally Selects a Small Cosmological Constant
- Local random potentials of high differentiability to model the Landscape
- Early-Time Measure in Eternal Inflation
- A Smooth Landscape: Ending Saddle Point Inflation Requires Features to be Shallow
- Linking Light Scalar Modes with A Small Positive Cosmological Constant in String Theory
- Statistical Distribution of the Vacuum Energy Density in Racetrack Kähler Uplift Models in String Theory
- The String Origin of SUSY Flavor Violation
- Probability of Vacuum Stability in Type IIB Multi-Kähler Moduli Models
- Preferred hierarchy scales from the product landscape