Linking Light Scalar Modes with A Small Positive Cosmological Constant in String Theory

Abstract

Based on the studies in Type IIB string theory phenomenology, we conjecture that a good fraction of the meta-stable de Sitter vacua in the cosmic stringy landscape tend to have a very small cosmological constant $\Lambda$ when compared to either the string scale $M_S$ or the Planck scale $M_P$, i.e., $\Lambda \ll M_S^4\ll M_P^4$. These low lying de Sitter vacua tend to be accompanied by very light scalar bosons/axions. Here we illustrate this phenomenon with the bosonic mass spectra in a set of Type IIB string theory flux compactification models. We conjecture that small $\Lambda$ with light bosons is generic among de Sitter solutions in string theory; that is, the smallness of $\Lambda$ and the existence of very light bosons (may be even the Higgs boson) are results of the statistical preference for such vacua in the landscape. We also discuss a scalar field ${\varphi }^3/{\varphi }^4$ model to illustrate how this statistical preference for a small $\Lambda$ remains when quantum loop corrections are included, thus bypassing the radiative instability problem.

35 pages, 7 figures; added subsection: Finite Temperature and Phase Transition

References in corpus (11)

• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• Flux Compactification
• Large Deviations of Extreme Eigenvalues of Random Matrices
• Inflationary Constraints on Type IIA String Theory
• Moduli Stabilization in Type IIB Orientifolds (II)
• On Classical de Sitter Vacua in String Theory
• Cosmology From Random Multifield Potentials
• Tachyons in Classical de Sitter Vacua
• Eternal Inflation with alpha'-Corrections
• The Euler characteristic correction to the Kaehler potential - revisited
• Geometric non-geometry

Cited by in corpus (11)

• Recognising Axionic Dark Matter by Compton and de-Broglie Scale Modulation of Pulsar Timing
• An Ultralight Axion in Supersymmetry and Strings and Cosmology at Small Scales
• Dynamical Evidence of a Solitonic Core of $10^9{M}_{\odot }$ in the Milky Way
• Axi-Higgs Cosmology
• Yoga Dark Energy: Natural Relaxation and Other Dark Implications of a Supersymmetric Gravity Sector
• A Soliton Solution for the Central Dark Masses in 47- Tuc Globular Cluster and Implications for the Axiverse
• Early-Time Measure in Eternal Inflation
• Standard Model from A Supergravity Model with a Naturally Small Cosmological Constant
• String Landscape and Fermion Masses
• The Cosmological Constant and the Electroweak Scale
• Linking the Supersymmetric Standard Model to the Cosmological Constant