Classifying Fibers and Bases in Toric Hypersurface Calabi-Yau Threefolds Article Swipe
We carry out a complete analysis of the toric elliptic and genus-one fibrations of all 474 million reflexive polytopes in the Kreuzer-Skarke database. Earlier work with Huang showed that all but 29,223 of these polytopes have such a fibration. We identify 2,264,992,252 distinct fibrations, and determine the fiber and base structure in each case; after accounting for automorphisms of the ambient polytope, these fibrations furnish 2,250,744,657 equivalence classes. We summarize generic features and identify exotic special cases among these fibrations. These fibrations illustrate many features that have been explored in the context of 6D F-theory, including gauge groups hosted on non-toric divisors, automatic enhancement of gauge groups, and implicit non-toric bases and high-rank 6D SCFTs associated with nonflat fibers, as well as novel geometric features such as singular bases for genus-one fibrations with multisections. This analysis illustrates the power of elliptic and genus-one fibrations, and the geometro-physical language of F-theory as a tool for understanding the structure of Calabi-Yau threefolds.
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- Type
- article
- Landing Page
- http://arxiv.org/abs/2511.10601
- https://arxiv.org/pdf/2511.10601
- OA Status
- green
- OpenAlex ID
- https://openalex.org/W7105794600
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https://openalex.org/W7105794600Canonical identifier for this work in OpenAlex
- Title
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Classifying Fibers and Bases in Toric Hypersurface Calabi-Yau ThreefoldsWork title
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articleOpenAlex work type
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2025Year of publication
- Publication date
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2025-11-13Full publication date if available
- Authors
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Abbasi, Fatima, Nally, Richard, Taylor, WashingtonList of authors in order
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https://arxiv.org/abs/2511.10601Publisher landing page
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https://arxiv.org/pdf/2511.10601Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2511.10601Direct OA link when available
- Concepts
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Hypersurface, Mathematics, Polytope, Context (archaeology), Equivalence (formal languages), Pure mathematics, Automorphism, Base (topology), Gauge (firearms), Automorphism group, Algebra over a field, Toric variety, Equivalence relation, Stack (abstract data type), Fiber, Characterization (materials science)Top concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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