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...
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| Materiálatiipa: | Artihkal |
| Giella: | English |
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Springer Berlin Heidelberg
2016
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| Liŋkkat: | http://hdl.handle.net/1721.1/103297 https://orcid.org/0000-0001-8566-6706 https://orcid.org/0000-0001-7418-1519 |
| _version_ | 1826208574695538688 |
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| author | Taylor, Washington Wang, Yinan |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Taylor, Washington Wang, Yinan |
| author_sort | Taylor, Washington |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:07:48Z |
| format | Article |
| id | mit-1721.1/103297 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:07:48Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1032972022-09-28T18:44:49Z A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua Taylor, Washington Wang, Yinan Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Wang, Yinan Taylor, Washington 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. United States. Department of Energy (contract #DE-SC00012567) 2016-06-23T17:51:35Z 2016-06-23T17:51:35Z 2016-01 2015-11 2016-05-23T09:37:42Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/103297 Taylor, Washington, and Yi-Nan Wang. “A Monte Carlo Exploration of Threefold Base Geometries for 4d F-Theory Vacua.” Journal of High Energy Physics 2016.1 (2016): n. pag. © 2016 Springer International Publishing https://orcid.org/0000-0001-8566-6706 https://orcid.org/0000-0001-7418-1519 en http://dx.doi.org/10.1007/JHEP01(2016)137 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Taylor, Washington Wang, Yinan A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua |
| title | A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua |
| title_full | A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua |
| title_fullStr | A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua |
| title_full_unstemmed | A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua |
| title_short | A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua |
| title_sort | monte carlo exploration of threefold base geometries for 4d f theory vacua |
| url | http://hdl.handle.net/1721.1/103297 https://orcid.org/0000-0001-8566-6706 https://orcid.org/0000-0001-7418-1519 |
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