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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Calabi-Yau orientifold hypersurfaces and their F-theory uplifts

  • Björn Hassfeld1
  • Jakob Moritz1
  1. 1University of Wisconsin-Madison
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Abstract

We present an algorithm that constructs Calabi-Yau threefold orientifolds and their F-theory uplifts to elliptically-fibered Calabi-Yau fourfolds, embedded in toric varieties at codimension one and two respectively. The resulting Calabi-Yau fourfolds arise from triangulations of 6d reflexive polytopes — which our method constructs from orientifold data — and are smooth away from isolated terminal singularities. For many of our fourfolds, the construction of the mirror manifold is immediate, enabling the computation of fourfold periods, and thus the seven-brane superpotential. We present multiple examples that demonstrate these capabilities. Our algorithms work with CYTools and are available through a GitHub repository https://github.com/B-Hassfeld/Calabi-Yau-orientifolds-and-F-Theory-uplifts.

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Cite

BibTeXRIS
BibTeX
@article{hassfeld2026calabiyau,
  title = {{Calabi-Yau orientifold hypersurfaces and their F-theory uplifts}},
  author = {Björn Hassfeld and Jakob Moritz},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)274},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)274},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Calabi-Yau orientifold hypersurfaces and their F-theory uplifts
AU  - Björn Hassfeld
AU  - Jakob Moritz
PY  - 2026
DA  - 2026/10/01
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)274
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)274
AB  - We present an algorithm that constructs Calabi-Yau threefold orientifolds and their F-theory uplifts to elliptically-fibered Calabi-Yau fourfolds, embedded in toric varieties at codimension one and two respectively. The resulting Calabi-Yau fourfolds arise from triangulations of 6d reflexive polytopes — which our method constructs from orientifold data — and are smooth away from isolated terminal singularities. For many of our fourfolds, the construction of the mirror manifold is immediate, enabling the computation of fourfold periods, and thus the seven-brane superpotential. We present multiple examples that demonstrate these capabilities. Our algorithms work with CYTools and are available through a GitHub repository https://github.com/B-Hassfeld/Calabi-Yau-orientifolds-and-F-Theory-uplifts.
SN  - 1029-8479
ER  -