Geometric constraints in dual F-theory and heterotic string compactifications
We systematically analyze a broad class of dual heterotic and F-theory models that give four-dimensional supergravity theories, and compare the geometric constraints on the two sides of the duality. Specifically, we give a complete classification of models where the heterotic theory is compactified...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Springer-Verlag
2014
|
| Online Access: | http://hdl.handle.net/1721.1/91263 https://orcid.org/0000-0001-8566-6706 |
| _version_ | 1826204705387184128 |
|---|---|
| author | Anderson, Lara B. Taylor, Washington |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Anderson, Lara B. Taylor, Washington |
| author_sort | Anderson, Lara B. |
| collection | MIT |
| description | We systematically analyze a broad class of dual heterotic and F-theory models that give four-dimensional supergravity theories, and compare the geometric constraints on the two sides of the duality. Specifically, we give a complete classification of models where the heterotic theory is compactified on a smooth Calabi-Yau threefold that is elliptically fibered with a single section and carries smooth irreducible vector bundles, and the dual F-theory model has a corresponding threefold base that has the form of a ℙ[superscript 1] bundle. We formulate simple conditions for the geometry on the F-theory side to support an elliptically fibered Calabi-Yau fourfold. We match these conditions with conditions for the existence of stable vector bundles on the heterotic side, and show that F-theory gives new insight into the conditions under which such bundles can be constructed. In particular, we find that many allowed F-theory models correspond to vector bundles on the heterotic side with exceptional structure groups, and determine a topological condition that is only satisfied for bundles of this type. We show that in many cases the F-theory geometry imposes a constraint on the extent to which the gauge group can be enhanced, corresponding to limits on the way in which the heterotic bundle can decompose. We explicitly construct all (4962) F-theory threefold bases for dual F-theory/heterotic constructions in the subset of models where the common twofold base surface is toric, and give both toric and non-toric examples of the general results. |
| first_indexed | 2024-09-23T12:59:44Z |
| format | Article |
| id | mit-1721.1/91263 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:59:44Z |
| publishDate | 2014 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/912632022-10-01T12:22:53Z Geometric constraints in dual F-theory and heterotic string compactifications Anderson, Lara B. Taylor, Washington Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Taylor, Washington We systematically analyze a broad class of dual heterotic and F-theory models that give four-dimensional supergravity theories, and compare the geometric constraints on the two sides of the duality. Specifically, we give a complete classification of models where the heterotic theory is compactified on a smooth Calabi-Yau threefold that is elliptically fibered with a single section and carries smooth irreducible vector bundles, and the dual F-theory model has a corresponding threefold base that has the form of a ℙ[superscript 1] bundle. We formulate simple conditions for the geometry on the F-theory side to support an elliptically fibered Calabi-Yau fourfold. We match these conditions with conditions for the existence of stable vector bundles on the heterotic side, and show that F-theory gives new insight into the conditions under which such bundles can be constructed. In particular, we find that many allowed F-theory models correspond to vector bundles on the heterotic side with exceptional structure groups, and determine a topological condition that is only satisfied for bundles of this type. We show that in many cases the F-theory geometry imposes a constraint on the extent to which the gauge group can be enhanced, corresponding to limits on the way in which the heterotic bundle can decompose. We explicitly construct all (4962) F-theory threefold bases for dual F-theory/heterotic constructions in the subset of models where the common twofold base surface is toric, and give both toric and non-toric examples of the general results. United States. Dept. of Energy (Contract DE-FC02-94ER40818) National Science Foundation (U.S.) (Grant PHY-1066293) 2014-11-03T14:48:25Z 2014-11-03T14:48:25Z 2014-08 2014-05 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/91263 Anderson, Lara B., and Washington Taylor. “Geometric Constraints in Dual F-Theory and Heterotic String Compactifications.” J. High Energ. Phys. 2014, no. 8 (August 2014). https://orcid.org/0000-0001-8566-6706 en_US http://dx.doi.org/10.1007/JHEP08(2014)025 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ application/pdf Springer-Verlag Springer-Verlag |
| spellingShingle | Anderson, Lara B. Taylor, Washington Geometric constraints in dual F-theory and heterotic string compactifications |
| title | Geometric constraints in dual F-theory and heterotic string compactifications |
| title_full | Geometric constraints in dual F-theory and heterotic string compactifications |
| title_fullStr | Geometric constraints in dual F-theory and heterotic string compactifications |
| title_full_unstemmed | Geometric constraints in dual F-theory and heterotic string compactifications |
| title_short | Geometric constraints in dual F-theory and heterotic string compactifications |
| title_sort | geometric constraints in dual f theory and heterotic string compactifications |
| url | http://hdl.handle.net/1721.1/91263 https://orcid.org/0000-0001-8566-6706 |
| work_keys_str_mv | AT andersonlarab geometricconstraintsindualftheoryandheteroticstringcompactifications AT taylorwashington geometricconstraintsindualftheoryandheteroticstringcompactifications |