Calabi-Yau threefolds with large h[superscript 2,1]
We carry out a systematic analysis of Calabi-Yau threefolds that are elliptically fibered with section (“EFS”) and have a large Hodge number h[superscript 2,1]. EFS Calabi-Yau threefolds live in a single connected space, with regions of moduli space associated with different topologies connected thr...
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| Format: | Article |
| Language: | en_US |
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Springer-Verlag/International School for Advanced Studies (SISSA)
2015
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| Online Access: | http://hdl.handle.net/1721.1/92736 https://orcid.org/0000-0001-8566-6706 https://orcid.org/0000-0002-0592-454X |
| _version_ | 1811091105001766912 |
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| author | Johnson, Samuel Buck Taylor, Washington |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Johnson, Samuel Buck Taylor, Washington |
| author_sort | Johnson, Samuel Buck |
| collection | MIT |
| description | We carry out a systematic analysis of Calabi-Yau threefolds that are elliptically fibered with section (“EFS”) and have a large Hodge number h[superscript 2,1]. EFS Calabi-Yau threefolds live in a single connected space, with regions of moduli space associated with different topologies connected through transitions that can be understood in terms of singular Weierstrass models. We determine the complete set of such threefolds that have h[superscript 2,1] ≥ 350 by tuning coefficients in Weierstrass models over Hirzebruch surfaces. The resulting set of Hodge numbers includes those of all known Calabi-Yau threefolds with h[superscript 2,1] ≥ 350, as well as three apparently new Calabi-Yau threefolds. We speculate that there are no other Calabi-Yau threefolds (elliptically fibered or not) with Hodge numbers that exceed this bound. We summarize the theoretical and practical obstacles to a complete enumeration of all possible EFS Calabi-Yau threefolds and fourfolds, including those with small Hodge numbers, using this approach. |
| first_indexed | 2024-09-23T14:57:06Z |
| format | Article |
| id | mit-1721.1/92736 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:57:06Z |
| publishDate | 2015 |
| publisher | Springer-Verlag/International School for Advanced Studies (SISSA) |
| record_format | dspace |
| spelling | mit-1721.1/927362022-10-01T23:32:05Z Calabi-Yau threefolds with large h[superscript 2,1] Calabi-Yau threefolds with large h 2,1 Johnson, Samuel Buck Taylor, Washington Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Johnson, Samuel Buck Taylor, Washington We carry out a systematic analysis of Calabi-Yau threefolds that are elliptically fibered with section (“EFS”) and have a large Hodge number h[superscript 2,1]. EFS Calabi-Yau threefolds live in a single connected space, with regions of moduli space associated with different topologies connected through transitions that can be understood in terms of singular Weierstrass models. We determine the complete set of such threefolds that have h[superscript 2,1] ≥ 350 by tuning coefficients in Weierstrass models over Hirzebruch surfaces. The resulting set of Hodge numbers includes those of all known Calabi-Yau threefolds with h[superscript 2,1] ≥ 350, as well as three apparently new Calabi-Yau threefolds. We speculate that there are no other Calabi-Yau threefolds (elliptically fibered or not) with Hodge numbers that exceed this bound. We summarize the theoretical and practical obstacles to a complete enumeration of all possible EFS Calabi-Yau threefolds and fourfolds, including those with small Hodge numbers, using this approach. Massachusetts Institute of Technology (MIT Dean of Science Fellowship) United States. Dept. of Energy (#DE-FC02-94ER40818) 2015-01-07T19:05:43Z 2015-01-07T19:05:43Z 2014-10 2014-06 Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/92736 Johnson, Samuel B., and Washington Taylor. “Calabi-Yau Threefolds with Large h [superscript 2,1].” J. High Energ. Phys. 2014, no. 10 (October 2014). https://orcid.org/0000-0001-8566-6706 https://orcid.org/0000-0002-0592-454X en_US http://dx.doi.org/10.1007/jhep10(2014)023 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ application/pdf Springer-Verlag/International School for Advanced Studies (SISSA) Springer-Verlag |
| spellingShingle | Johnson, Samuel Buck Taylor, Washington Calabi-Yau threefolds with large h[superscript 2,1] |
| title | Calabi-Yau threefolds with large h[superscript 2,1] |
| title_full | Calabi-Yau threefolds with large h[superscript 2,1] |
| title_fullStr | Calabi-Yau threefolds with large h[superscript 2,1] |
| title_full_unstemmed | Calabi-Yau threefolds with large h[superscript 2,1] |
| title_short | Calabi-Yau threefolds with large h[superscript 2,1] |
| title_sort | calabi yau threefolds with large h superscript 2 1 |
| url | http://hdl.handle.net/1721.1/92736 https://orcid.org/0000-0001-8566-6706 https://orcid.org/0000-0002-0592-454X |
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