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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2410.07950 |
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| _version_ | 1866914969419776000 |
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| author | de Medeiros, Paul |
| author_facet | de Medeiros, Paul |
| contents | We consider a class of Poincaré superalgebras for which the nested bracket of three supercharges is necessarily zero only in dimensions greater than three. In lower dimensions, we give a precise characterisation of the data which encodes any such Poincaré superalgebra in terms of a more elementary embedding superalgebra. Up to isomorphism, we classify every classical embedding superalgebra that defines a Poincaré superalgebra. More generally, we show how to construct an embedding superalgebra in dimensions one, two and three from a certain type of triple system whose product structure encodes the nested bracket of three supercharges in the associated Poincaré superalgebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Poincaré superalgebras and triple systems de Medeiros, Paul High Energy Physics - Theory We consider a class of Poincaré superalgebras for which the nested bracket of three supercharges is necessarily zero only in dimensions greater than three. In lower dimensions, we give a precise characterisation of the data which encodes any such Poincaré superalgebra in terms of a more elementary embedding superalgebra. Up to isomorphism, we classify every classical embedding superalgebra that defines a Poincaré superalgebra. More generally, we show how to construct an embedding superalgebra in dimensions one, two and three from a certain type of triple system whose product structure encodes the nested bracket of three supercharges in the associated Poincaré superalgebra. |
| title | Poincaré superalgebras and triple systems |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.07950 |