(Non-)unitarity of strictly and partially massless fermions on de Sitter space
Abstract We present the dictionary between the one-particle Hilbert spaces of totally symmetric tensor-spinor fields of spin s = 3/2, 5/2 with any mass parameter on D-dimensional (D ≥ 3) de Sitter space (dS D ) and Unitary Irreducible Representations (UIR’s) of the de Sitter algebra spin(D, 1). Our...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2023)015 |
| _version_ | 1797736448711983104 |
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| author | Vasileios A. Letsios |
| author_facet | Vasileios A. Letsios |
| author_sort | Vasileios A. Letsios |
| collection | DOAJ |
| description | Abstract We present the dictionary between the one-particle Hilbert spaces of totally symmetric tensor-spinor fields of spin s = 3/2, 5/2 with any mass parameter on D-dimensional (D ≥ 3) de Sitter space (dS D ) and Unitary Irreducible Representations (UIR’s) of the de Sitter algebra spin(D, 1). Our approach is based on expressing the eigenmodes on global dS D in terms of eigenmodes of the Dirac operator on the (D − 1)-sphere, which provides a natural way to identify the corresponding representations with known UIR’s under the decomposition spin(D, 1) ⊃ spin(D). Remarkably, we find that four- dimensional de Sitter space plays a distinguished role in the case of the gauge-invariant theories. In particular, the strictly massless spin-3/2 field, as well as the strictly and partially massless spin-5/2 fields on dS D , are not unitary unless D = 4. |
| first_indexed | 2024-03-12T13:14:05Z |
| format | Article |
| id | doaj.art-02aec405990b450abf6c453497dfb0ae |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T13:14:05Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-02aec405990b450abf6c453497dfb0ae2023-08-27T11:05:35ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-012023513410.1007/JHEP05(2023)015(Non-)unitarity of strictly and partially massless fermions on de Sitter spaceVasileios A. Letsios0Department of Mathematics, University of YorkAbstract We present the dictionary between the one-particle Hilbert spaces of totally symmetric tensor-spinor fields of spin s = 3/2, 5/2 with any mass parameter on D-dimensional (D ≥ 3) de Sitter space (dS D ) and Unitary Irreducible Representations (UIR’s) of the de Sitter algebra spin(D, 1). Our approach is based on expressing the eigenmodes on global dS D in terms of eigenmodes of the Dirac operator on the (D − 1)-sphere, which provides a natural way to identify the corresponding representations with known UIR’s under the decomposition spin(D, 1) ⊃ spin(D). Remarkably, we find that four- dimensional de Sitter space plays a distinguished role in the case of the gauge-invariant theories. In particular, the strictly massless spin-3/2 field, as well as the strictly and partially massless spin-5/2 fields on dS D , are not unitary unless D = 4.https://doi.org/10.1007/JHEP05(2023)015Field Theories in Higher DimensionsGauge SymmetryGlobal SymmetriesSpace-Time Symmetries |
| spellingShingle | Vasileios A. Letsios (Non-)unitarity of strictly and partially massless fermions on de Sitter space Journal of High Energy Physics Field Theories in Higher Dimensions Gauge Symmetry Global Symmetries Space-Time Symmetries |
| title | (Non-)unitarity of strictly and partially massless fermions on de Sitter space |
| title_full | (Non-)unitarity of strictly and partially massless fermions on de Sitter space |
| title_fullStr | (Non-)unitarity of strictly and partially massless fermions on de Sitter space |
| title_full_unstemmed | (Non-)unitarity of strictly and partially massless fermions on de Sitter space |
| title_short | (Non-)unitarity of strictly and partially massless fermions on de Sitter space |
| title_sort | non unitarity of strictly and partially massless fermions on de sitter space |
| topic | Field Theories in Higher Dimensions Gauge Symmetry Global Symmetries Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP05(2023)015 |
| work_keys_str_mv | AT vasileiosaletsios nonunitarityofstrictlyandpartiallymasslessfermionsondesitterspace |