an:07223813
Zbl 1437.83145
Otsuka, Hajime; Takemoto, Kenta
Deep learning and k-means clustering in heterotic string vacua with line bundles
EN
J. High Energy Phys. 2020, No. 5, Paper No. 47, 21 p. (2020).
00451109
2020
j
83E30 14J32 32Q25
superstring vacua; superstrings and heterotic strings
Summary: 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.