DOAJ Open Access 2023

(Non-)unitarity of strictly and partially massless fermions on de Sitter space

Vasileios A. Letsios

Abstrak

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.

Topik & Kata Kunci

Nuclear and particle physics. Atomic energy. Radioactivity

Penulis (1)

Vasileios A. Letsios

Format Sitasi

APA MLA BibTeX

Letsios, V.A. (2023). (Non-)unitarity of strictly and partially massless fermions on de Sitter space. https://doi.org/10.1007/JHEP05(2023)015

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1007/JHEP05(2023)015
Akses: Open Access ✓