Non-Riemannian isometries from double field theory
Abstract We explore the notion of isometries in non-Riemannian geometries. Such geometries include and generalise the backgrounds of non-relativistic string theory, and they can be naturally described using the formalism of double field theory. Adopting this approach, we first solve the correspondin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2021)072 |
| _version_ | 1818361765082169344 |
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| author | Chris D. A. Blair Gerben Oling Jeong-Hyuck Park |
| author_facet | Chris D. A. Blair Gerben Oling Jeong-Hyuck Park |
| author_sort | Chris D. A. Blair |
| collection | DOAJ |
| description | Abstract We explore the notion of isometries in non-Riemannian geometries. Such geometries include and generalise the backgrounds of non-relativistic string theory, and they can be naturally described using the formalism of double field theory. Adopting this approach, we first solve the corresponding Killing equations for constant flat non-Riemannian backgrounds and show that they admit an infinite-dimensional algebra of isometries which includes a particular type of supertranslations. These symmetries correspond to known worldsheet Noether symmetries of the Gomis-Ooguri non-relativistic string, which we now interpret as isometries of its non-Riemannian doubled background. We further consider the extension to supersymmetric double field theory and show that the corresponding Killing spinors can depend arbitrarily on the non-Riemannian directions, leading to “supersupersymmetries” that square to supertranslations. |
| first_indexed | 2024-12-13T21:21:53Z |
| format | Article |
| id | doaj.art-bbb12b09842643f980229a9dc2705f6b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T21:21:53Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bbb12b09842643f980229a9dc2705f6b2022-12-21T23:31:04ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021413710.1007/JHEP04(2021)072Non-Riemannian isometries from double field theoryChris D. A. Blair0Gerben Oling1Jeong-Hyuck Park2Theoretische Natuurkunde, Vrije Universiteit Brussel, and the International Solvay InstitutesThe Niels Bohr Institute, University of CopenhagenDepartment of Physics, Sogang UniversityAbstract We explore the notion of isometries in non-Riemannian geometries. Such geometries include and generalise the backgrounds of non-relativistic string theory, and they can be naturally described using the formalism of double field theory. Adopting this approach, we first solve the corresponding Killing equations for constant flat non-Riemannian backgrounds and show that they admit an infinite-dimensional algebra of isometries which includes a particular type of supertranslations. These symmetries correspond to known worldsheet Noether symmetries of the Gomis-Ooguri non-relativistic string, which we now interpret as isometries of its non-Riemannian doubled background. We further consider the extension to supersymmetric double field theory and show that the corresponding Killing spinors can depend arbitrarily on the non-Riemannian directions, leading to “supersupersymmetries” that square to supertranslations.https://doi.org/10.1007/JHEP04(2021)072String DualitySpace-Time SymmetriesSupersymmetry and Duality |
| spellingShingle | Chris D. A. Blair Gerben Oling Jeong-Hyuck Park Non-Riemannian isometries from double field theory Journal of High Energy Physics String Duality Space-Time Symmetries Supersymmetry and Duality |
| title | Non-Riemannian isometries from double field theory |
| title_full | Non-Riemannian isometries from double field theory |
| title_fullStr | Non-Riemannian isometries from double field theory |
| title_full_unstemmed | Non-Riemannian isometries from double field theory |
| title_short | Non-Riemannian isometries from double field theory |
| title_sort | non riemannian isometries from double field theory |
| topic | String Duality Space-Time Symmetries Supersymmetry and Duality |
| url | https://doi.org/10.1007/JHEP04(2021)072 |
| work_keys_str_mv | AT chrisdablair nonriemannianisometriesfromdoublefieldtheory AT gerbenoling nonriemannianisometriesfromdoublefieldtheory AT jeonghyuckpark nonriemannianisometriesfromdoublefieldtheory |