Fermionic fields in the d-dimensional anti-de Sitter spacetime

Details Fermionic fields in the d-dimensional anti-de Sitter spacetime Fermionic fields in the d-dimensional anti-de Sitter spacetime

1998-02-13

arxiv.org/abs/hep-th/9802097v1

Phys.Lett. B419 (1998) 49-56

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX

Scientific paper

10.1016/S0370-2693(97)01446-9

Arbitrary spin free massless fermionic fields corresponding to mixed symmetry representations of the \hbox{$SO(d-1)$} compact group and propagating in even $d$-dimensional anti-de Sitter spacetime are investigated. Free wave equations of motion, subsidiary conditions and the corresponding gauge transformations for such fields are proposed. The lowest eigenvalues of the energy operator for the massless fields and the gauge parameter fields are derived. The results are formulated in $SO(d-1,2)$ covariant form as well as in terms of intrinsic coordinates.

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