Chiral Matter Multiplicities and Resolution-Independent Structure in 4D F-Theory Models
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220_2023_Article_4860.pdf
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1.45 MB
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70aedda97875263b3264da26ed480a5f
Author(s)
Jefferson, Patrick
Taylor, Washington
Turner, Andrew P.
Date Issued
November 5, 2023
Publisher
Springer Berlin Heidelberg
Citation
Jefferson, Patrick, Taylor, Washington and Turner, Andrew P. 2023. "Chiral Matter Multiplicities and Resolution-Independent Structure in 4D F-Theory Models."
Version
Final published version
Abstract
Abstract
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
$${\text {U}}(1)$$
U
(
1
)
gauge factors. We explicitly analyze resolutions of these F-theory models in which the elliptic fiber is realized as a cubic in
$${\mathbb {P}}^2$$
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/s00220-023-04860-0
