General F-theory models with tuned (SU(3) × SU(2) × U(1))/ℤ6 symmetry
Abstract We construct a general form for an F-theory Weierstrass model over a general base giving a 6D or 4D supergravity theory with gauge group (SU(3) × SU(2) × U(1))/ℤ6 and generic associated matter, which includes the matter content of the standard model. The Weierstrass model is identified b...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/131697 |
| _version_ | 1826201468429926400 |
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| author | Raghuram, Nikhil Taylor, Washington Turner, Andrew P |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Raghuram, Nikhil Taylor, Washington Turner, Andrew P |
| author_sort | Raghuram, Nikhil |
| collection | MIT |
| description | Abstract
We construct a general form for an F-theory Weierstrass model over a general base giving a 6D or 4D supergravity theory with gauge group (SU(3) × SU(2) × U(1))/ℤ6 and generic associated matter, which includes the matter content of the standard model. The Weierstrass model is identified by unHiggsing a model with U(1) gauge symmetry and charges q ≤ 4 previously found by the first author. This model includes two distinct branches that were identified in earlier work, and includes as a special case the class of models recently studied by Cvetič, Halverson, Lin, Liu, and Tian, for which we demonstrate explicitly the possibility of unification through an SU(5) unHiggsing. We develop a systematic methodology for checking that a parameterized class of F-theory Weierstrass models with a given gauge group G and fixed matter content is generic (contains all allowed moduli) and confirm that this holds for the models constructed here. |
| first_indexed | 2024-09-23T11:51:59Z |
| format | Article |
| id | mit-1721.1/131697 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:51:59Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1316972023-12-13T15:27:27Z General F-theory models with tuned (SU(3) × SU(2) × U(1))/ℤ6 symmetry Raghuram, Nikhil Taylor, Washington Turner, Andrew P Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Abstract We construct a general form for an F-theory Weierstrass model over a general base giving a 6D or 4D supergravity theory with gauge group (SU(3) × SU(2) × U(1))/ℤ6 and generic associated matter, which includes the matter content of the standard model. The Weierstrass model is identified by unHiggsing a model with U(1) gauge symmetry and charges q ≤ 4 previously found by the first author. This model includes two distinct branches that were identified in earlier work, and includes as a special case the class of models recently studied by Cvetič, Halverson, Lin, Liu, and Tian, for which we demonstrate explicitly the possibility of unification through an SU(5) unHiggsing. We develop a systematic methodology for checking that a parameterized class of F-theory Weierstrass models with a given gauge group G and fixed matter content is generic (contains all allowed moduli) and confirm that this holds for the models constructed here. 2021-09-20T17:29:44Z 2021-09-20T17:29:44Z 2020-04-01 2020-06-26T13:21:51Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131697 Journal of High Energy Physics. 2020 Apr 01;2020(4):8 PUBLISHER_CC en https://doi.org/10.1007/JHEP04(2020)008 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Raghuram, Nikhil Taylor, Washington Turner, Andrew P General F-theory models with tuned (SU(3) × SU(2) × U(1))/ℤ6 symmetry |
| title | General F-theory models with tuned (SU(3) × SU(2) × U(1))/ℤ6 symmetry |
| title_full | General F-theory models with tuned (SU(3) × SU(2) × U(1))/ℤ6 symmetry |
| title_fullStr | General F-theory models with tuned (SU(3) × SU(2) × U(1))/ℤ6 symmetry |
| title_full_unstemmed | General F-theory models with tuned (SU(3) × SU(2) × U(1))/ℤ6 symmetry |
| title_short | General F-theory models with tuned (SU(3) × SU(2) × U(1))/ℤ6 symmetry |
| title_sort | general f theory models with tuned su 3 su 2 u 1 z6 symmetry |
| url | https://hdl.handle.net/1721.1/131697 |
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