A Stringy Mechanism for A Small Cosmological Constant - Multi-Moduli Cases -

Abstract

Based on the properties of probability distributions of functions of random variables, we proposed earlier a simple stringy mechanism that prefers the meta-stable vacua with a small cosmological constant Λ. As an illustration of this approach, we study in this paper particularly simple but non-trivial models of the Kähler uplift in the large volume flux compactification scenario in Type IIB string theory, where all parameters introduced in the model are treated either as fixed constants motivated by physics, or as random variables with some given uniform probability distributions. We determine the value w_0 of the superpotential W_0 at the supersymmetric minima, and find that the resulting probability distribution P(w_0) peaks at w_0=0; furthermore, this peaking behavior strengthens as the number of complex structure moduli increases. The resulting probability distribution P(Λ) for meta-stable vacua also peaks as Λ-> 0, for both positive and negative Λ. This peaking/divergent behavior of P(Λ) strengthens as the number of moduli increases. In some scenarios for Λ> 0, the likely value of Λdecreases exponentially as the number of moduli increases. The light cosmological moduli issue accompanying a very small Λis also mentioned.

34+11 pages, 45 figures; v2: arguments improved, references added; v3: version to appear in JCAP

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• Flux Compactification
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• Extreme Value Statistics of Eigenvalues of Gaussian Random Matrices
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Cited by in corpus (18)

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• Preference for a Vanishingly Small Cosmological Constant in Supersymmetric Vacua in a Type IIB String Theory Model
• 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
• Linking Light Scalar Modes with A Small Positive Cosmological Constant in String Theory
• A Smooth Landscape: Ending Saddle Point Inflation Requires Features to be Shallow
• Standard Model from A Supergravity Model with a Naturally Small Cosmological Constant
• The String Origin of SUSY Flavor Violation
• String Landscape and Fermion Masses
• The Cosmological Constant and the Electroweak Scale
• Linking the Supersymmetric Standard Model to the Cosmological Constant
• Preferred hierarchy scales from the product landscape