Chiral Matter Multiplicities and Resolution-Independent Structure in 4D F-Theory Models Article Swipe
Patrick Jefferson
,
Washington Taylor
,
Andrew P. Turner
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1007/s00220-023-04860-0
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1007/s00220-023-04860-0
Motivated by questions related to the landscape of flux compactifications, we combine new and existing techniques into a systematic, streamlined approach for computing vertical fluxes and chiral matter multiplicities in 4D F-theory models. A central feature of our approach is the conjecturally resolution-independent intersection pairing of the vertical part of the integer middle cohomology of smooth elliptic Calabi–Yau fourfolds, relevant for computing chiral indices and related aspects of 4D F-theory flux vacua. We illustrate our approach by analyzing vertical flux backgrounds for F-theory models with simple, simply-laced gauge groups and generic matter content, as well as models with $${\text {U}}(1)$$ gauge factors. We explicitly analyze resolutions of these F-theory models in which the elliptic fiber is realized as a cubic in $${\mathbb {P}}^2$$ over an arbitrary (e.g., not necessarily toric) smooth base, and confirm the independence of the intersection pairing of the vertical part of the middle cohomology for the resolutions we study. In each model, we find that vertical flux backgrounds can produce nonzero multiplicities for a spanning set of anomaly-free chiral matter field combinations, suggesting that F-theory geometry imposes no additional linear constraints on allowed matter representations beyond those implied by 4D anomaly cancellation.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/s00220-023-04860-0
- https://link.springer.com/content/pdf/10.1007/s00220-023-04860-0.pdf
- OA Status
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- Cited By
- 5
- References
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- OpenAlex ID
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https://doi.org/10.1007/s00220-023-04860-0Digital Object Identifier
- Title
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Chiral Matter Multiplicities and Resolution-Independent Structure in 4D F-Theory ModelsWork title
- Type
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articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-11-05Full publication date if available
- Authors
-
Patrick Jefferson, Washington Taylor, Andrew P. TurnerList of authors in order
- Landing page
-
https://doi.org/10.1007/s00220-023-04860-0Publisher landing page
- PDF URL
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https://link.springer.com/content/pdf/10.1007/s00220-023-04860-0.pdfDirect link to full text PDF
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YesWhether a free full text is available
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hybridOpen access status per OpenAlex
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https://link.springer.com/content/pdf/10.1007/s00220-023-04860-0.pdfDirect OA link when available
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Pairing, Cohomology, Intersection (aeronautics), Gauge theory, F-theory, Algorithm, Physics, Mathematics, Theoretical physics, Particle physics, Pure mathematics, Quantum mechanics, Superconductivity, String theory, Aerospace engineering, EngineeringTop concepts (fields/topics) attached by OpenAlex
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5Total citation count in OpenAlex
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2025: 1, 2024: 1, 2023: 1, 2022: 2Per-year citation counts (last 5 years)
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163Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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