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}
}
  • Y. Kimura
  • Published 2017
  • Physics, Mathematics
  • Advances in Theoretical and Mathematical Physics
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
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