A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua
We use Monte Carlo methods to explore the set of toric threefold bases that support elliptic Calabi-Yau fourfolds for F-theory compactifications to four dimensions, and study the distribution of geometrically non-Higgsable gauge groups, matter, and quiver structure. We estimate the number of distinc...
| Главные авторы: | , |
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| Другие авторы: | |
| Формат: | Статья |
| Язык: | English |
| Опубликовано: |
Springer Berlin Heidelberg
2016
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| Online-ссылка: | http://hdl.handle.net/1721.1/103297 https://orcid.org/0000-0001-8566-6706 https://orcid.org/0000-0001-7418-1519 |
| Итог: | We use Monte Carlo methods to explore the set of toric threefold bases that support elliptic Calabi-Yau fourfolds for F-theory compactifications to four dimensions, and study the distribution of geometrically non-Higgsable gauge groups, matter, and quiver structure. We estimate the number of distinct threefold bases in the connected set studied to be ∼ 10[superscript 48]. The distribution of bases peaks around h [superscript 1,1] ∼ 82. All bases encountered after “thermalization” have some geometric non-Higgsable structure. We find that the number of non-Higgsable gauge group factors grows roughly linearly in h [superscript 1,1] of the threefold base. Typical bases have ∼ 6 isolated gauge factors as well as several larger connected clusters of gauge factors with jointly charged matter. Approximately 76% of the bases sampled contain connected two-factor gauge group products of the form SU(3) × SU(2), which may act as the non-Abelian part of the standard model gauge group. SU(3) × SU(2) is the third most common connected two-factor product group, following SU(2) × SU(2) and G 2 × SU(2), which arise more frequently. |
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