Partially-massless higher spin algebras in four dimensions
Abstract We propose a realisation of partially-massless higher spin algebras in four dimensions in terms of bosonic and fermionic oscillators, using Howe duality between sp(4, ℝ) ≅ so(2, 3) and osp(1|2(ℓ − 1), ℝ). More precisely, we show that the centraliser of osp(1|2(ℓ − 1), ℝ) in the Weyl-Cliffor...
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2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)152 |
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| author | Thomas Basile Shailesh Dhasmana |
| author_facet | Thomas Basile Shailesh Dhasmana |
| author_sort | Thomas Basile |
| collection | DOAJ |
| description | Abstract We propose a realisation of partially-massless higher spin algebras in four dimensions in terms of bosonic and fermionic oscillators, using Howe duality between sp(4, ℝ) ≅ so(2, 3) and osp(1|2(ℓ − 1), ℝ). More precisely, we show that the centraliser of osp(1|2(ℓ − 1), ℝ) in the Weyl-Clifford algebra generated by 4 bosonic and 8(ℓ − 1) fermionic symbols, modulo osp(1|2(ℓ − 1), ℝ) generators, is isomorphic to the higher spin algebra of the type-A ℓ theory whose spectrum contains partially-massless fields of all spins and depths t = 1, 3,…, 2ℓ − 1. We also discuss the possible existence of a deformation of this algebra, which would encode interaction for the type-A ℓ theory. |
| format | Article |
| id | doaj-art-b6e942c03e28492eac5865fa65d65235 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b6e942c03e28492eac5865fa65d652352025-01-05T12:05:58ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241213010.1007/JHEP12(2024)152Partially-massless higher spin algebras in four dimensionsThomas Basile0Shailesh Dhasmana1Service de Physique de l’Univers, Champs et Gravitation, Université de MonsService de Physique de l’Univers, Champs et Gravitation, Université de MonsAbstract We propose a realisation of partially-massless higher spin algebras in four dimensions in terms of bosonic and fermionic oscillators, using Howe duality between sp(4, ℝ) ≅ so(2, 3) and osp(1|2(ℓ − 1), ℝ). More precisely, we show that the centraliser of osp(1|2(ℓ − 1), ℝ) in the Weyl-Clifford algebra generated by 4 bosonic and 8(ℓ − 1) fermionic symbols, modulo osp(1|2(ℓ − 1), ℝ) generators, is isomorphic to the higher spin algebra of the type-A ℓ theory whose spectrum contains partially-massless fields of all spins and depths t = 1, 3,…, 2ℓ − 1. We also discuss the possible existence of a deformation of this algebra, which would encode interaction for the type-A ℓ theory.https://doi.org/10.1007/JHEP12(2024)152Higher Spin GravityHigher Spin Symmetry |
| spellingShingle | Thomas Basile Shailesh Dhasmana Partially-massless higher spin algebras in four dimensions Journal of High Energy Physics Higher Spin Gravity Higher Spin Symmetry |
| title | Partially-massless higher spin algebras in four dimensions |
| title_full | Partially-massless higher spin algebras in four dimensions |
| title_fullStr | Partially-massless higher spin algebras in four dimensions |
| title_full_unstemmed | Partially-massless higher spin algebras in four dimensions |
| title_short | Partially-massless higher spin algebras in four dimensions |
| title_sort | partially massless higher spin algebras in four dimensions |
| topic | Higher Spin Gravity Higher Spin Symmetry |
| url | https://doi.org/10.1007/JHEP12(2024)152 |
| work_keys_str_mv | AT thomasbasile partiallymasslesshigherspinalgebrasinfourdimensions AT shaileshdhasmana partiallymasslesshigherspinalgebrasinfourdimensions |