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Cited by 58Black Holes and Theoretical PhysicsAlgebraic Geometry and Number TheoryParticle physics theoretical and experimental studies

Scanning the skeleton of the 4D F-theory landscape

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Taylor, Washington, Wang, Yi-Nan·2018·Journal of High Energy Physics
DOI 10.1007/jhep01(2018)111
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Abstract

Using a one-way Monte Carlo algorithm from several different starting points, we get an approximation to the distribution of toric threefold bases that can be used in four-dimensional F-theory compactification. We separate the threefold bases into “resolvable” ones where the Weierstrass polynomials (f, g) can vanish to order (4, 6) or higher on codimension-two loci and the “good” bases where these (4, 6) loci are not allowed. A simple estimate suggests that the number of distinct resolvable base geometries exceeds 103000, with over 10250 “good” bases, though the actual numbers are likely much larger. We find that the good bases are concentrated at specific “end points” with special isolated values of h1,1 that are bigger than 1,000. These end point bases give Calabi-Yau fourfolds with specific Hodge numbers mirror to elliptic fibrations over simple threefolds. The non-Higgsable gauge groups on the end point bases are almost entirely made of products of E8, F4, G2 and SU(2). Nonetheless, we find a large class of good bases with a single non-Higgsable SU(3). Moreover, by randomly contracting the end point bases, we find many resolvable bases with h1,1(B) ∼ 50-200 that cannot be contracted to another smooth threefold base.

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  • From known constructions of Calabi-Yau 4-fold geometries, there are examples with O(10^5) complex structure moduli.

    “From known constructions of Calabi-Yau 4-fold geometries, there are examples with of O (10 5 ) such moduli [34, 35].”

    From Gravitational memory and compact extra dimensions (2022) · cites this paper as [34]

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Cited by

Sorted by citations

Authors
Taylor, W., & Wang, Y.-N.
Affiliations
Massachusetts Institute of Technology (US)
Corresponding author
Wang, Yi-Nan
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2018-01
Volume
2018
Issue
1
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep01(2018)111
OpenAlex
W2766422261
Cited by
58
References
0
Citations by year
2026: 1 · 2025: 4 · 2024: 2 · 2023: 5 · 2022: 5 · 2021: 6 · 2020: 12 · 2019: 14 · 2018: 9
FWCI
4.97
Type
journal article
Language
en
Open access
Licence
cc-by
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion, cc-by)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • DSpace@MIT (Massachusetts Institute of Technology) (submittedVersion, cc-by-nc)
  • Oxford University Research Archive (ORA) (University of Oxford) (submittedVersion, cc-by)
  • arXiv (Cornell University)
Funders
U.S. Department of Energy (DESC0012567, DESC0001256)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Mathematics › Geometry and Topology › Algebraic Geometry and Number Theory
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
Keywords
F-theory compactifications, Calabi-Yau fourfolds, Hodge numbers, elliptic fibrations, SU(3) gauge group

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