Algorithmic universality in F-theory compactifications
Open accessAbstract
We study universality of geometric gauge sectors in the string landscape in the context of F-theory compactifications. A finite time construction algorithm is presented for $\frac{4}{3}\ifmmode\times\else\texttimes\fi{}2.96\ifmmode\times\else\texttimes\fi{}{10}^{755}$ F-theory geometries that are connected by a network of topological transitions in a connected moduli space. High probability geometric assumptions uncover universal structures in the ensemble without explicitly constructing it. For example, non-Higgsable clusters of seven-branes with intricate gauge sectors occur with a probability above $1--1.01\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}755}$, and the geometric gauge group rank is above 160 with probability 0.999995. In the latter case there are at least 10 ${E}_{8}$ factors, the structure of which fixes the gauge groups on certain nearby seven-branes. Visible sectors may arise from ${E}_{6}$ or $SU(3)$ seven-branes, which occur in certain random samples with probability $\ensuremath{\simeq}1/200$.
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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 [35]
The introductory discussion counts approximately 10^755 geometries, not complex-structure moduli. The discussion of multiplicities of vanishing mentions tuning in complex-structure moduli space but gives no moduli count. Searches for 10^5, Hodge numbers, and complex-structure moduli found no example with O(10^5) such moduli in our copy. (LLM, conf=0.73)
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Gravitational memory and compact extra dimensions
Ferko, C., Satishchandran, G., & Sethi, S. (2022) · Physical Review D · doi:10.1103/physrevd.105.024072 · Cited by 20 · see citing works
- Authors
- Halverson, J., Long, C., & Sung, B.
- Affiliations
- Northeastern University (US)
- ORCID
- Halverson, James
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2017-12-11
- Volume
- 96
- Issue
- 12
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W2622312016
- Cited by
- 71
- References
- 0
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 5 · 2023: 7 · 2022: 8 · 2021: 8 · 2020: 11 · 2019: 15 · 2018: 11 · 2017: 3
- FWCI
- 5.08
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical review. D/Physical review. D. (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (PHY-1620526)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic Geometry and Number Theory
- Keywords
- F-theory compactifications, string landscape, seven-branes, topological phase transition, moduli spaces, gauge group rank
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