Abstract
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 (dSD) and Unitary Irreducible Representations (UIR’s) of the de Sitter algebra spin(D, 1). Our approach is based on expressing the eigenmodes on global dSD 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 dSD, are not unitary unless D = 4.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference41 articles.
1. Supernova Cosmology Project collaboration, Measurements of Ω and Λ from 42 high redshift supernovae, Astrophys. J. 517 (1999) 565 [astro-ph/9812133] [INSPIRE].
2. SDSS collaboration, Baryon acoustic oscillations in the Sloan Digital Sky Survey data release 7 galaxy sample, Mon. Not. Roy. Astron. Soc. 401 (2010) 2148 [arXiv:0907.1660] [INSPIRE].
3. Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [Erratum ibid. 652 (2021) C4] [arXiv:1807.06209] [INSPIRE].
4. S.W. Hawking and G.F.R. Ellis, The large scale structure of space-time, Cambridge University Press (1973) [https://doi.org/10.1017/cbo9780511524646].
5. W.-K. Tung, Group theory in physics: an introduction to symmetry principles, group representations, and special functions in classical and quantum physics, World Scientific (1985) [https://doi.org/10.1142/0097].
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