Probability of Vacuum Stability in Type IIB Multi-Kähler Moduli Models
arXiv:1310.4202
Abstract
We study the probability that all eigenvalues of the moduli mass matrix at extremal points are positive in concrete multi-Kähler moduli models of type IIB string theory compactifications in the large volume regime. Our analysis is motivated by the open question if vacua which are uplifted to de Sitter remain stable. We derive a simple analytical condition for the mass matrix to be positive definite, and estimate the corresponding probability in a supersymmetric moduli stabilization model along the lines of KKLT and a non-supersymmetric Large Volume Scenario type of model, given a reasonable range of compactification parameters. Under identical conditions, the probability for the supersymmetric model is moderately higher than that of the Large Volume Scenario type model.
27 pages, v2: additional references included and typos corrected, accepted to JHEP
References in corpus (11)
- Planck 2013 results. XVI. Cosmological parameters
- Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
- Flux Compactification
- Large Deviations of Extreme Eigenvalues of Random Matrices
- Extreme Value Statistics of Eigenvalues of Gaussian Random Matrices
- D-brane Deconstructions in IIB Orientifolds
- deSitter vacua from uplifting D-terms in effective supergravities from realistic strings
- On α' corrections in N=1 F-theory compactifications
- Tumbling through a landscape: Evidence of instabilities in high-dimensional moduli spaces
- Calabi-Yau Manifolds with Large Volume Vacua
- Statistical Distribution of the Vacuum Energy Density in Racetrack Kähler Uplift Models in String Theory