Freedom and constraints in the K3 landscape
We consider ``magnetized brane'' compactifications of the type I/heterotic string on K3 with U(1) background fluxes. The gauge group and matter content of the resulting six-dimensional vacua are parameterized by a matrix encoding a lattice contained within the even, self-dual lattice Γ[sup...
| Main Authors: | , |
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| Format: | Article |
| Language: | en_US |
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IOP Publishing
2013
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| Online Access: | http://hdl.handle.net/1721.1/76659 https://orcid.org/0000-0001-8566-6706 |
| _version_ | 1811074285065732096 |
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| author | Kumar, Vijay Taylor, Washington |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Kumar, Vijay Taylor, Washington |
| author_sort | Kumar, Vijay |
| collection | MIT |
| description | We consider ``magnetized brane'' compactifications of the type I/heterotic string on K3 with U(1) background fluxes. The gauge group and matter content of the resulting six-dimensional vacua are parameterized by a matrix encoding a lattice contained within the even, self-dual lattice Γ[superscript 3,19]. Mathematical results of Nikulin on lattice embeddings make possible a simple classification of all such solutions. We find that every six-dimensional theory parameterized in this way by a negative semi-definite matrix whose trace satisfies a simple tadpole constraint can be realized as a K3 compactification. This approach makes it possible to explicitly and efficiently construct all models in this class with any particular allowed gauge group and matter content, so that one can immediately ``dial-a-model'' with desired properties. |
| first_indexed | 2024-09-23T09:46:38Z |
| format | Article |
| id | mit-1721.1/76659 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:46:38Z |
| publishDate | 2013 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/766592022-09-26T13:38:00Z Freedom and constraints in the K3 landscape Kumar, Vijay Taylor, Washington Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Kumar, Vijay Taylor, Washington We consider ``magnetized brane'' compactifications of the type I/heterotic string on K3 with U(1) background fluxes. The gauge group and matter content of the resulting six-dimensional vacua are parameterized by a matrix encoding a lattice contained within the even, self-dual lattice Γ[superscript 3,19]. Mathematical results of Nikulin on lattice embeddings make possible a simple classification of all such solutions. We find that every six-dimensional theory parameterized in this way by a negative semi-definite matrix whose trace satisfies a simple tadpole constraint can be realized as a K3 compactification. This approach makes it possible to explicitly and efficiently construct all models in this class with any particular allowed gauge group and matter content, so that one can immediately ``dial-a-model'' with desired properties. 2013-01-30T16:44:05Z 2013-01-30T16:44:05Z 2009-05 2009-03 Article http://purl.org/eprint/type/JournalArticle 1126-6708 1029-8479 http://hdl.handle.net/1721.1/76659 Kumar, Vijay, and Washington Taylor. “Freedom and Constraints in the K3 Landscape.” Journal of High Energy Physics 2009.05 (2009): 066–066. https://orcid.org/0000-0001-8566-6706 en_US http://dx.doi.org/10.1088/1126-6708/2009/05/066 Journal of High Energy Physics Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf IOP Publishing arXiv |
| spellingShingle | Kumar, Vijay Taylor, Washington Freedom and constraints in the K3 landscape |
| title | Freedom and constraints in the K3 landscape |
| title_full | Freedom and constraints in the K3 landscape |
| title_fullStr | Freedom and constraints in the K3 landscape |
| title_full_unstemmed | Freedom and constraints in the K3 landscape |
| title_short | Freedom and constraints in the K3 landscape |
| title_sort | freedom and constraints in the k3 landscape |
| url | http://hdl.handle.net/1721.1/76659 https://orcid.org/0000-0001-8566-6706 |
| work_keys_str_mv | AT kumarvijay freedomandconstraintsinthek3landscape AT taylorwashington freedomandconstraintsinthek3landscape |