Mirror symmetry and elliptic Calabi-Yau manifolds
We find that for many Calabi-Yau threefolds with elliptic or genus one fibrations mirror symmetry factorizes between the fiber and the base of the fibration. In the simplest examples, the generic CY elliptic fibration over any toric base surface B that supports an elliptic Calabi-Yau threefold has a...
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| Format: | Article |
| Language: | English |
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Springer Science and Business Media LLC
2020
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| Online Access: | https://hdl.handle.net/1721.1/126649 |
| _version_ | 1826197657329074176 |
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| author | Huang, Yu-Chien Taylor IV, Washington |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Huang, Yu-Chien Taylor IV, Washington |
| author_sort | Huang, Yu-Chien |
| collection | MIT |
| description | We find that for many Calabi-Yau threefolds with elliptic or genus one fibrations mirror symmetry factorizes between the fiber and the base of the fibration. In the simplest examples, the generic CY elliptic fibration over any toric base surface B that supports an elliptic Calabi-Yau threefold has a mirror that is an elliptic fibration over a dual toric base surface B˜ that is related through toric geometry to the line bundle −6K B . The Kreuzer-Skarke database includes all these examples and gives a wide range of other more complicated constructions where mirror symmetry also factorizes. Since recent evidence suggests that most Calabi-Yau threefolds are elliptic or genus one fibered, this points to a new way of understanding mirror symmetry that may apply to a large fraction of smooth Calabi-Yau threefolds. The factorization structure identified here can also apply for CalabiYau manifolds of higher dimension. |
| first_indexed | 2024-09-23T10:51:08Z |
| format | Article |
| id | mit-1721.1/126649 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:51:08Z |
| publishDate | 2020 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1266492022-09-30T23:29:10Z Mirror symmetry and elliptic Calabi-Yau manifolds Huang, Yu-Chien Taylor IV, Washington Massachusetts Institute of Technology. Department of Physics We find that for many Calabi-Yau threefolds with elliptic or genus one fibrations mirror symmetry factorizes between the fiber and the base of the fibration. In the simplest examples, the generic CY elliptic fibration over any toric base surface B that supports an elliptic Calabi-Yau threefold has a mirror that is an elliptic fibration over a dual toric base surface B˜ that is related through toric geometry to the line bundle −6K B . The Kreuzer-Skarke database includes all these examples and gives a wide range of other more complicated constructions where mirror symmetry also factorizes. Since recent evidence suggests that most Calabi-Yau threefolds are elliptic or genus one fibered, this points to a new way of understanding mirror symmetry that may apply to a large fraction of smooth Calabi-Yau threefolds. The factorization structure identified here can also apply for CalabiYau manifolds of higher dimension. 2020-08-18T17:24:19Z 2020-08-18T17:24:19Z 2019-04 2018-11 2020-03-03T18:08:16Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 https://hdl.handle.net/1721.1/126649 Huang, Yu-Chien and Washington Taylor. “Mirror symmetry and elliptic Calabi-Yau manifolds.” Journal of High Energy Physics, vol. 2019, article 83 © 2019 The Author(s) en 10.1007/JHEP04(2019)083 Journal of High Energy Physics Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf Springer Science and Business Media LLC Springer |
| spellingShingle | Huang, Yu-Chien Taylor IV, Washington Mirror symmetry and elliptic Calabi-Yau manifolds |
| title | Mirror symmetry and elliptic Calabi-Yau manifolds |
| title_full | Mirror symmetry and elliptic Calabi-Yau manifolds |
| title_fullStr | Mirror symmetry and elliptic Calabi-Yau manifolds |
| title_full_unstemmed | Mirror symmetry and elliptic Calabi-Yau manifolds |
| title_short | Mirror symmetry and elliptic Calabi-Yau manifolds |
| title_sort | mirror symmetry and elliptic calabi yau manifolds |
| url | https://hdl.handle.net/1721.1/126649 |
| work_keys_str_mv | AT huangyuchien mirrorsymmetryandellipticcalabiyaumanifolds AT taylorivwashington mirrorsymmetryandellipticcalabiyaumanifolds |