The F-theory geometry with most flux vacua
Applying the Ashok-Denef-Douglas estimation method to elliptic Calabi-Yau fourfolds suggests that a single elliptic fourfold M[subscript max] gives rise to O(10[superscript 272,000]) F-theory flux vacua, and that the sum total of the numbers of flux vacua from all other F-theory geometries is sup...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2016
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| Online Access: | http://hdl.handle.net/1721.1/103328 https://orcid.org/0000-0001-8566-6706 https://orcid.org/0000-0001-7418-1519 |
| _version_ | 1826215909130240000 |
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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 | Applying the Ashok-Denef-Douglas estimation method to elliptic Calabi-Yau fourfolds suggests that a single elliptic fourfold M[subscript max] gives rise to O(10[superscript 272,000]) F-theory flux vacua, and that the sum total of the numbers of flux vacua from all other F-theory geometries is suppressed by a relative factor of O(10[superscript −3000]). The fourfold M[subscript max] arises from a generic elliptic fibration over a specific toric threefold base B max, and gives a geometrically non-Higgsable gauge group of E [subscript 8] [superscript 9] × F [subscript 4] [superscript 8] × (G [subscript 2] × SU(2))[superscript 16], of which we expect some factors to be broken by G-flux to smaller groups. It is not possible to tune an SU(5) GUT group on any further divisors in M[subscript max], or even an SU(2) or SU(3), so the standard model gauge group appears to arise in this context only from a broken E 8 factor. The results of this paper can either be interpreted as providing a framework for predicting how the standard model arises most naturally in F-theory and the types of dark matter to be found in a typical F-theory compactification, or as a challenge to string theorists to explain why other choices of vacua are not exponentially unlikely compared to F-theory compactifications on M[subscript max]. |
| first_indexed | 2024-09-23T16:38:38Z |
| format | Article |
| id | mit-1721.1/103328 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:38:38Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1033282022-10-03T07:23:36Z The F-theory geometry with most flux vacua Taylor, Washington Wang, Yinan Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Taylor, Washington Wang, Yinan Applying the Ashok-Denef-Douglas estimation method to elliptic Calabi-Yau fourfolds suggests that a single elliptic fourfold M[subscript max] gives rise to O(10[superscript 272,000]) F-theory flux vacua, and that the sum total of the numbers of flux vacua from all other F-theory geometries is suppressed by a relative factor of O(10[superscript −3000]). The fourfold M[subscript max] arises from a generic elliptic fibration over a specific toric threefold base B max, and gives a geometrically non-Higgsable gauge group of E [subscript 8] [superscript 9] × F [subscript 4] [superscript 8] × (G [subscript 2] × SU(2))[superscript 16], of which we expect some factors to be broken by G-flux to smaller groups. It is not possible to tune an SU(5) GUT group on any further divisors in M[subscript max], or even an SU(2) or SU(3), so the standard model gauge group appears to arise in this context only from a broken E 8 factor. The results of this paper can either be interpreted as providing a framework for predicting how the standard model arises most naturally in F-theory and the types of dark matter to be found in a typical F-theory compactification, or as a challenge to string theorists to explain why other choices of vacua are not exponentially unlikely compared to F-theory compactifications on M[subscript max]. United States. Department of Energy (contract #DE-SC00012567) 2016-06-24T17:31:53Z 2016-06-24T17:31:53Z 2015-12 2015-12 2016-05-23T09:37:39Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/103328 Taylor, Washington, and Yi-Nan Wang. “The F-Theory Geometry with Most Flux Vacua.” Journal of High Energy Physics 2015.12 (2015): n. pag. https://orcid.org/0000-0001-8566-6706 https://orcid.org/0000-0001-7418-1519 en http://dx.doi.org/10.1007/JHEP12(2015)164 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 The F-theory geometry with most flux vacua |
| title | The F-theory geometry with most flux vacua |
| title_full | The F-theory geometry with most flux vacua |
| title_fullStr | The F-theory geometry with most flux vacua |
| title_full_unstemmed | The F-theory geometry with most flux vacua |
| title_short | The F-theory geometry with most flux vacua |
| title_sort | f theory geometry with most flux vacua |
| url | http://hdl.handle.net/1721.1/103328 https://orcid.org/0000-0001-8566-6706 https://orcid.org/0000-0001-7418-1519 |
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