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arXiv · 1211.6858

Preference for a Vanishingly Small Cosmological Constant in Supersymmetric Vacua in a Type IIB String Theory Model

Yoske Sumitomo·S. -H. Henry Tye
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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.

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Yoske Sumitomo, S. -H. Henry Tye. 2013-06-12. Preference for a Vanishingly Small Cosmological Constant in Supersymmetric Vacua in a Type IIB String Theory Model. https://doi.org/10.1016/j.physletb.2013.05.027

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