General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure
We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two. This construction produces broad classes of models with diverse matter spectra, including many that are not realized in...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2017
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| Online Access: | http://hdl.handle.net/1721.1/107677 https://orcid.org/0000-0001-8566-6706 |
| _version_ | 1826209465807929344 |
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| author | Cvetič, Mirjam Klevers, Denis Piragua, Hernan Taylor IV, Washington |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Cvetič, Mirjam Klevers, Denis Piragua, Hernan Taylor IV, Washington |
| author_sort | Cvetič, Mirjam |
| collection | MIT |
| description | We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two. This construction produces broad classes of models with diverse matter spectra, including many that are not realized in earlier F-theory constructions with U(1)×U(1) gauge symmetry. Generic U(1)×U(1) models can be related to a Higgsed non-Abelian model with gauge group SU(2)×SU(2)×SU(3), SU(2)[superscript 3]×SU(3), or a subgroup thereof. The nonlocal horizontal divisors of the Mordell-Weil group are replaced with local vertical divisors associated with the Cartan generators of non-Abelian gauge groups from Kodaira singularities. We give a global resolution of codimension two singularities of the Abelian model; we identify the full anomaly free matter content, and match it to the unHiggsed non-Abelian model. The non-Abelian Weierstrass model exhibits a new algebraic description of the singularities in the fibration that results in the first explicit construction of matter in the symmetric representation of SU(3). This matter is realized on double point singularities of the discriminant locus. The construction suggests a generalization to U(1)[superscript k] factors with k > 2, which can be studied by Higgsing theories with larger non-Abelian gauge groups. |
| first_indexed | 2024-09-23T14:22:57Z |
| format | Article |
| id | mit-1721.1/107677 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:22:57Z |
| publishDate | 2017 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1076772022-09-29T09:08:21Z General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure Cvetič, Mirjam Klevers, Denis Piragua, Hernan Taylor IV, Washington Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Taylor IV, Washington We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two. This construction produces broad classes of models with diverse matter spectra, including many that are not realized in earlier F-theory constructions with U(1)×U(1) gauge symmetry. Generic U(1)×U(1) models can be related to a Higgsed non-Abelian model with gauge group SU(2)×SU(2)×SU(3), SU(2)[superscript 3]×SU(3), or a subgroup thereof. The nonlocal horizontal divisors of the Mordell-Weil group are replaced with local vertical divisors associated with the Cartan generators of non-Abelian gauge groups from Kodaira singularities. We give a global resolution of codimension two singularities of the Abelian model; we identify the full anomaly free matter content, and match it to the unHiggsed non-Abelian model. The non-Abelian Weierstrass model exhibits a new algebraic description of the singularities in the fibration that results in the first explicit construction of matter in the symmetric representation of SU(3). This matter is realized on double point singularities of the discriminant locus. The construction suggests a generalization to U(1)[superscript k] factors with k > 2, which can be studied by Higgsing theories with larger non-Abelian gauge groups. United States. Dept. of Energy. Office of High Energy Physics (Award DE-SC00012567) 2017-03-23T19:26:16Z 2017-03-23T19:26:16Z 2015-11 2016-05-23T09:37:32Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/107677 Cvetič, Mirjam et al. “General U(1)×U(1) F-Theory Compactifications and beyond: Geometry of unHiggsings and Novel Matter Structure.” Journal of High Energy Physics 2015.11 (2015): n. pag. https://orcid.org/0000-0001-8566-6706 en http://dx.doi.org/10.1007/JHEP11(2015)204 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 | Cvetič, Mirjam Klevers, Denis Piragua, Hernan Taylor IV, Washington General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure |
| title | General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure |
| title_full | General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure |
| title_fullStr | General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure |
| title_full_unstemmed | General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure |
| title_short | General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure |
| title_sort | general u 1 u 1 f theory compactifications and beyond geometry of unhiggsings and novel matter structure |
| url | http://hdl.handle.net/1721.1/107677 https://orcid.org/0000-0001-8566-6706 |
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