All Killing superalgebras for warped AdS backgrounds
Abstract We present all the symmetry superalgebras g $$ \mathfrak{g} $$ of all warped AdS k × w M d − k , k > 2, flux backgrounds in d = 10, 11 dimensions preserving any number of supersymmetries. First we give the conditions for g to decompose into a direct sum of the isometry algebra of AdS k a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP12(2018)047 |
| _version_ | 1818132065146634240 |
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| author | S. Beck U. Gran J. Gutowski G. Papadopoulos |
| author_facet | S. Beck U. Gran J. Gutowski G. Papadopoulos |
| author_sort | S. Beck |
| collection | DOAJ |
| description | Abstract We present all the symmetry superalgebras g $$ \mathfrak{g} $$ of all warped AdS k × w M d − k , k > 2, flux backgrounds in d = 10, 11 dimensions preserving any number of supersymmetries. First we give the conditions for g to decompose into a direct sum of the isometry algebra of AdS k and that of the internal space M d − k . Assuming this decomposition, we identify all symmetry superalgebras of AdS3 backgrounds by showing that the isometry groups of internal spaces act transitively on spheres. We demonstrate that in type II and d = 11 theories the AdS3 symmetry superalgebras may not be simple and also present all symmetry superalgebras of heterotic AdS3 backgrounds. Furthermore, we explicitly give the symmetry superalgebras of AdS k , k > 3, backgrounds and prove that they are all classical. |
| first_indexed | 2024-12-11T08:30:54Z |
| format | Article |
| id | doaj.art-236833cdd8ee4dada17e7dfd099fd60c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T08:30:54Z |
| publishDate | 2018-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-236833cdd8ee4dada17e7dfd099fd60c2022-12-22T01:14:27ZengSpringerOpenJournal of High Energy Physics1029-84792018-12-0120181214310.1007/JHEP12(2018)047All Killing superalgebras for warped AdS backgroundsS. Beck0U. Gran1J. Gutowski2G. Papadopoulos3Department of Mathematics, King’s College LondonDepartment of Physics, Division for Theoretical Physics, Chalmers University of TechnologyDepartment of Mathematics, University of SurreyDepartment of Mathematics, King’s College LondonAbstract We present all the symmetry superalgebras g $$ \mathfrak{g} $$ of all warped AdS k × w M d − k , k > 2, flux backgrounds in d = 10, 11 dimensions preserving any number of supersymmetries. First we give the conditions for g to decompose into a direct sum of the isometry algebra of AdS k and that of the internal space M d − k . Assuming this decomposition, we identify all symmetry superalgebras of AdS3 backgrounds by showing that the isometry groups of internal spaces act transitively on spheres. We demonstrate that in type II and d = 11 theories the AdS3 symmetry superalgebras may not be simple and also present all symmetry superalgebras of heterotic AdS3 backgrounds. Furthermore, we explicitly give the symmetry superalgebras of AdS k , k > 3, backgrounds and prove that they are all classical.http://link.springer.com/article/10.1007/JHEP12(2018)047Flux compactificationsSpace-Time SymmetriesSupergravity ModelsSuperstring Vacua |
| spellingShingle | S. Beck U. Gran J. Gutowski G. Papadopoulos All Killing superalgebras for warped AdS backgrounds Journal of High Energy Physics Flux compactifications Space-Time Symmetries Supergravity Models Superstring Vacua |
| title | All Killing superalgebras for warped AdS backgrounds |
| title_full | All Killing superalgebras for warped AdS backgrounds |
| title_fullStr | All Killing superalgebras for warped AdS backgrounds |
| title_full_unstemmed | All Killing superalgebras for warped AdS backgrounds |
| title_short | All Killing superalgebras for warped AdS backgrounds |
| title_sort | all killing superalgebras for warped ads backgrounds |
| topic | Flux compactifications Space-Time Symmetries Supergravity Models Superstring Vacua |
| url | http://link.springer.com/article/10.1007/JHEP12(2018)047 |
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