Speaker
Description
String theory lives in higher dimensions, and compactification of extra dimensions leads to many equivalent 4-d effective theories which potentially describe our universe. Hence, it is interesting to study this large set of 4-d models and their phenomenology in a statistical setup.
We focus on the statistical aspects of the type-IIB string landscape. We show that stabilization of kähler moduli is important as it governs the distributions in low-energy physics. In a generic case of the Large Volume Scenarios of moduli stabilization, we find that the SUSY breaking scale and mass & decay constant of axions feature a logarithmic distribution. We also notice that the QCD axion prefers the mild logarithmic preference for smaller couplings with SM gauge fields. However, for the Kachru-Kallosh-Linde-Trivedi (KKLT) model of moduli stabilization, we find that SUSY breaking scale is distributed quadratically. Since small values of Gukov-Vafa-Witten (GVW) superpotential are more suited for viable phenomenology and perturbatively flat vacua provide that. We have developed algorithms to find all possible perturbatively flat vacua numerically for two moduli cases. We find that perturbatively flat vacua are statistically sparse in the whole set of vacua at a low vacuum value of GVW superpotential.
| Session | Formal Theory |
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