6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces
We carry out a systematic study of a class of 6D F-theory models and associated Calabi-Yau threefolds that are constructed using base surfaces with a generalization of toric structure. In particular, we determine all smooth surfaces with a structure invariant under a single C[superscript ∗] action (...
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| Format: | Article |
| Language: | en_US |
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Springer-Verlag
2015
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| Online Access: | http://hdl.handle.net/1721.1/98246 https://orcid.org/0000-0001-8566-6706 |
| _version_ | 1826217279520505856 |
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| author | Martini, Gabriella Taylor, Washington |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Martini, Gabriella Taylor, Washington |
| author_sort | Martini, Gabriella |
| collection | MIT |
| description | We carry out a systematic study of a class of 6D F-theory models and associated Calabi-Yau threefolds that are constructed using base surfaces with a generalization of toric structure. In particular, we determine all smooth surfaces with a structure invariant under a single C[superscript ∗] action (sometimes called “T-varieties” in the mathematical literature) that can act as bases for an elliptic fibration with section of a Calabi-Yau threefold. We identify 162,404 distinct bases, which include as a subset the previously studied set of strictly toric bases. Calabi-Yau threefolds constructed in this fashion include examples with previously unknown Hodge numbers. There are also bases over which the generic elliptic fibration has a Mordell-Weil group of sections with nonzero rank, corresponding to non-Higgsable U(1) factors in the 6D supergravity model; this type of structure does not arise for generic elliptic fibrations in the purely toric context. |
| first_indexed | 2024-09-23T17:00:53Z |
| format | Article |
| id | mit-1721.1/98246 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:00:53Z |
| publishDate | 2015 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/982462022-10-03T09:48:15Z 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces Martini, Gabriella Taylor, Washington Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Martini, Gabriella Taylor, Washington We carry out a systematic study of a class of 6D F-theory models and associated Calabi-Yau threefolds that are constructed using base surfaces with a generalization of toric structure. In particular, we determine all smooth surfaces with a structure invariant under a single C[superscript ∗] action (sometimes called “T-varieties” in the mathematical literature) that can act as bases for an elliptic fibration with section of a Calabi-Yau threefold. We identify 162,404 distinct bases, which include as a subset the previously studied set of strictly toric bases. Calabi-Yau threefolds constructed in this fashion include examples with previously unknown Hodge numbers. There are also bases over which the generic elliptic fibration has a Mordell-Weil group of sections with nonzero rank, corresponding to non-Higgsable U(1) factors in the 6D supergravity model; this type of structure does not arise for generic elliptic fibrations in the purely toric context. United States. Dept. of Energy (Contract DE-FC02-94ER40818) National Science Foundation (U.S.) (Grant PHY-1066293) 2015-08-26T13:17:36Z 2015-08-26T13:17:36Z 2015-06 2015-01 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/98246 Martini, Gabriella, and Washington Taylor. “6D F-Theory Models and Elliptically Fibered Calabi-Yau Threefolds over Semi-Toric Base Surfaces.” J. High Energ. Phys. 2015, no. 6 (June 2015). https://orcid.org/0000-0001-8566-6706 en_US http://dx.doi.org/10.1007/JHEP06(2015)061 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ application/pdf Springer-Verlag Springer-Verlag |
| spellingShingle | Martini, Gabriella Taylor, Washington 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces |
| title | 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces |
| title_full | 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces |
| title_fullStr | 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces |
| title_full_unstemmed | 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces |
| title_short | 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces |
| title_sort | 6d f theory models and elliptically fibered calabi yau threefolds over semi toric base surfaces |
| url | http://hdl.handle.net/1721.1/98246 https://orcid.org/0000-0001-8566-6706 |
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