[PDF] Gauge symmetries and matter fields in $\mathrm{F}$-theory models without section — compactifications on double cover and Fermat quartic $\mathrm{K}3$ constructions times $\mathrm{K}3$ | Semantic Scholar

Gauge symmetries and matter fields in $\mathrm{F}$-theory models without section — compactifications on double cover and Fermat quartic $\mathrm{K}3$ constructions times $\mathrm{K}3$

@article{Kimura2017GaugeSA,
title={Gauge symmetries and matter fields in \$\mathrm\{F\}\$-theory models without section — compactifications on double cover and Fermat quartic \$\mathrm\{K\}3\$ constructions times \$\mathrm\{K\}3\$},
author={Y. Kimura},
journal={Advances in Theoretical and Mathematical Physics},
year={2017},
volume={21},
pages={2087-2114}
}

We investigate gauge theories and matter fields in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without a global section. In this study, genus-one fibered Calabi-Yau 4-folds are built as direct products of a genus-one fibered K3 surface that lacks a section times a K3 surface. We consider i) double covers of $\mathbb{P}^1\times\mathbb{P}^1$ ramified along a bidegree (4,4) curve, and ii) complete intersections of two bidegree (1,2) hypersurfaces in $\mathbb{P}^1\times… Expand