Abstract
We apply deep-learning techniques to the string landscape, in particular, SO(32) heterotic string theory on simply-connected Calabi-Yau threefolds with line bundles. It turns out that three-generation models cluster in particular islands specified by deep autoencoder networks and k-means++ clustering. Especially, we explore mutual relations between model parameters and the cluster with densest three-generation models (called “3-generation island”). We find that the 3-generation island has a strong correlation with the topological data of Calabi-Yau threefolds, in particular, second Chern class of the tangent bundle of the Calabi-Yau threefolds. Our results also predict a large number of Higgs pairs in the 3-generation island.
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Otsuka, H., Takemoto, K. Deep learning and k-means clustering in heterotic string vacua with line bundles. J. High Energ. Phys. 2020, 47 (2020). https://doi.org/10.1007/JHEP05(2020)047
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DOI: https://doi.org/10.1007/JHEP05(2020)047