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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)152 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |