Non-split singularities and conifold transitions in F-theory
Abstract In F-theory, if a fiber type of an elliptic fibration involves a condition that requires an exceptional curve to split into two irreducible components, it is called “split” or “non-split” type depending on whether it is globally possible or not. In the latter case, the gauge symmetry is red...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2022)070 |
| _version_ | 1828141850923368448 |
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| author | R. Kuramochi S. Mizoguchi T. Tani |
| author_facet | R. Kuramochi S. Mizoguchi T. Tani |
| author_sort | R. Kuramochi |
| collection | DOAJ |
| description | Abstract In F-theory, if a fiber type of an elliptic fibration involves a condition that requires an exceptional curve to split into two irreducible components, it is called “split” or “non-split” type depending on whether it is globally possible or not. In the latter case, the gauge symmetry is reduced to a non-simply-laced Lie algebra due to monodromy. We show that this split/non-split transition is, except for a special class of models, a conifold transition from the resolved to the deformed side, associated with the conifold singularities emerging where the codimension-one singularity is enhanced to D 2k+2 (k ≥ 1) or E 7. We also examine how the previous proposal for the origin of non-local matter can be actually implemented in our blow-up analysis. |
| first_indexed | 2024-04-11T19:31:45Z |
| format | Article |
| id | doaj.art-4f43fe12ce9b40d49c7557f18caf4515 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T19:31:45Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4f43fe12ce9b40d49c7557f18caf45152022-12-22T04:06:58ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221013710.1007/JHEP10(2022)070Non-split singularities and conifold transitions in F-theoryR. Kuramochi0S. Mizoguchi1T. Tani2SOKENDAI (The Graduate University for Advanced Studies)SOKENDAI (The Graduate University for Advanced Studies)National Institute of Technology, Kurume CollegeAbstract In F-theory, if a fiber type of an elliptic fibration involves a condition that requires an exceptional curve to split into two irreducible components, it is called “split” or “non-split” type depending on whether it is globally possible or not. In the latter case, the gauge symmetry is reduced to a non-simply-laced Lie algebra due to monodromy. We show that this split/non-split transition is, except for a special class of models, a conifold transition from the resolved to the deformed side, associated with the conifold singularities emerging where the codimension-one singularity is enhanced to D 2k+2 (k ≥ 1) or E 7. We also examine how the previous proposal for the origin of non-local matter can be actually implemented in our blow-up analysis.https://doi.org/10.1007/JHEP10(2022)070Differential and Algebraic GeometryF-TheoryCompactification and String Models |
| spellingShingle | R. Kuramochi S. Mizoguchi T. Tani Non-split singularities and conifold transitions in F-theory Journal of High Energy Physics Differential and Algebraic Geometry F-Theory Compactification and String Models |
| title | Non-split singularities and conifold transitions in F-theory |
| title_full | Non-split singularities and conifold transitions in F-theory |
| title_fullStr | Non-split singularities and conifold transitions in F-theory |
| title_full_unstemmed | Non-split singularities and conifold transitions in F-theory |
| title_short | Non-split singularities and conifold transitions in F-theory |
| title_sort | non split singularities and conifold transitions in f theory |
| topic | Differential and Algebraic Geometry F-Theory Compactification and String Models |
| url | https://doi.org/10.1007/JHEP10(2022)070 |
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