Lie algebra expansions, non-relativistic matter multiplets and actions
Abstract We discuss a general methodology to provide rigid, off-shell matter multiplets and actions for recently constructed non-relativistic superalgebras. The technique is based on the Lie algebra expansion, which, in the context of supersymmetry, has so far been used to obtain non-relativistic on...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2022)081 |
| _version_ | 1819261462439264256 |
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| author | Oguzhan Kasikci Mehmet Ozkan |
| author_facet | Oguzhan Kasikci Mehmet Ozkan |
| author_sort | Oguzhan Kasikci |
| collection | DOAJ |
| description | Abstract We discuss a general methodology to provide rigid, off-shell matter multiplets and actions for recently constructed non-relativistic superalgebras. The technique is based on the Lie algebra expansion, which, in the context of supersymmetry, has so far been used to obtain non-relativistic on-shell supergravity models. We first explain how the Lie algebra expansion can be implemented to generate off-shell rigid multiplets on a flat background by developing an auxiliary framework where only the lowest order behavior of the spatial and temporal vielbein is relevant. We then provide explicit examples for the field content, the transformation rules as well as action principles for certain multiplets in three and four dimensions. |
| first_indexed | 2024-12-23T19:42:11Z |
| format | Article |
| id | doaj.art-81fbe98cfb1944509e1f9f0dc9ad1e5e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T19:42:11Z |
| publishDate | 2022-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-81fbe98cfb1944509e1f9f0dc9ad1e5e2022-12-21T17:33:38ZengSpringerOpenJournal of High Energy Physics1029-84792022-01-012022113010.1007/JHEP01(2022)081Lie algebra expansions, non-relativistic matter multiplets and actionsOguzhan Kasikci0Mehmet Ozkan1Department of Physics, Istanbul Technical UniversityDepartment of Physics, Istanbul Technical UniversityAbstract We discuss a general methodology to provide rigid, off-shell matter multiplets and actions for recently constructed non-relativistic superalgebras. The technique is based on the Lie algebra expansion, which, in the context of supersymmetry, has so far been used to obtain non-relativistic on-shell supergravity models. We first explain how the Lie algebra expansion can be implemented to generate off-shell rigid multiplets on a flat background by developing an auxiliary framework where only the lowest order behavior of the spatial and temporal vielbein is relevant. We then provide explicit examples for the field content, the transformation rules as well as action principles for certain multiplets in three and four dimensions.https://doi.org/10.1007/JHEP01(2022)081Extended SupersymmetrySpace-Time Symmetries |
| spellingShingle | Oguzhan Kasikci Mehmet Ozkan Lie algebra expansions, non-relativistic matter multiplets and actions Journal of High Energy Physics Extended Supersymmetry Space-Time Symmetries |
| title | Lie algebra expansions, non-relativistic matter multiplets and actions |
| title_full | Lie algebra expansions, non-relativistic matter multiplets and actions |
| title_fullStr | Lie algebra expansions, non-relativistic matter multiplets and actions |
| title_full_unstemmed | Lie algebra expansions, non-relativistic matter multiplets and actions |
| title_short | Lie algebra expansions, non-relativistic matter multiplets and actions |
| title_sort | lie algebra expansions non relativistic matter multiplets and actions |
| topic | Extended Supersymmetry Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP01(2022)081 |
| work_keys_str_mv | AT oguzhankasikci liealgebraexpansionsnonrelativisticmattermultipletsandactions AT mehmetozkan liealgebraexpansionsnonrelativisticmattermultipletsandactions |