F-theory vacua with Z3 gauge symmetry
Discrete gauge groups naturally arise in F-theory compactifications on genus-one fibered Calabi–Yau manifolds. Such geometries appear in families that are parameterized by the Tate–Shafarevich group of the genus-one fibration. While the F-theory compactification on any element of this family gives r...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2015-09-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315002515 |
| _version_ | 1811256766214701056 |
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| author | Mirjam Cvetič Ron Donagi Denis Klevers Hernan Piragua Maximilian Poretschkin |
| author_facet | Mirjam Cvetič Ron Donagi Denis Klevers Hernan Piragua Maximilian Poretschkin |
| author_sort | Mirjam Cvetič |
| collection | DOAJ |
| description | Discrete gauge groups naturally arise in F-theory compactifications on genus-one fibered Calabi–Yau manifolds. Such geometries appear in families that are parameterized by the Tate–Shafarevich group of the genus-one fibration. While the F-theory compactification on any element of this family gives rise to the same physics, the corresponding M-theory compactifications on these geometries differ and are obtained by a fluxed circle reduction of the former. In this note, we focus on an element of order three in the Tate–Shafarevich group of the general cubic. We discuss how the different M-theory vacua and the associated discrete gauge groups can be obtained by Higgsing of a pair of five-dimensional U(1) symmetries. The Higgs fields arise from vanishing cycles in I2-fibers that appear at certain codimension two loci in the base. We explicitly identify all three curves that give rise to the corresponding Higgs fields. In this analysis the investigation of different resolved phases of the underlying geometry plays a crucial rôle. |
| first_indexed | 2024-04-12T17:46:18Z |
| format | Article |
| id | doaj.art-743838ecacc348f7b10a1042ab588c27 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-04-12T17:46:18Z |
| publishDate | 2015-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-743838ecacc348f7b10a1042ab588c272022-12-22T03:22:40ZengElsevierNuclear Physics B0550-32131873-15622015-09-01898C73675010.1016/j.nuclphysb.2015.07.011F-theory vacua with Z3 gauge symmetryMirjam Cvetič0Ron Donagi1Denis Klevers2Hernan Piragua3Maximilian Poretschkin4Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, USADepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, USATheory Group, Physics Department, CERN, CH-1211, Geneva 23, SwitzerlandDepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, USADepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, USADiscrete gauge groups naturally arise in F-theory compactifications on genus-one fibered Calabi–Yau manifolds. Such geometries appear in families that are parameterized by the Tate–Shafarevich group of the genus-one fibration. While the F-theory compactification on any element of this family gives rise to the same physics, the corresponding M-theory compactifications on these geometries differ and are obtained by a fluxed circle reduction of the former. In this note, we focus on an element of order three in the Tate–Shafarevich group of the general cubic. We discuss how the different M-theory vacua and the associated discrete gauge groups can be obtained by Higgsing of a pair of five-dimensional U(1) symmetries. The Higgs fields arise from vanishing cycles in I2-fibers that appear at certain codimension two loci in the base. We explicitly identify all three curves that give rise to the corresponding Higgs fields. In this analysis the investigation of different resolved phases of the underlying geometry plays a crucial rôle.http://www.sciencedirect.com/science/article/pii/S0550321315002515 |
| spellingShingle | Mirjam Cvetič Ron Donagi Denis Klevers Hernan Piragua Maximilian Poretschkin F-theory vacua with Z3 gauge symmetry Nuclear Physics B |
| title | F-theory vacua with Z3 gauge symmetry |
| title_full | F-theory vacua with Z3 gauge symmetry |
| title_fullStr | F-theory vacua with Z3 gauge symmetry |
| title_full_unstemmed | F-theory vacua with Z3 gauge symmetry |
| title_short | F-theory vacua with Z3 gauge symmetry |
| title_sort | f theory vacua with z3 gauge symmetry |
| url | http://www.sciencedirect.com/science/article/pii/S0550321315002515 |
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