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

R.R.Metsaev (Lebedev Physical Institute)

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

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arxiv hep-th/9802097 v1 pith:LZQHQPJO submitted 1998-02-13 hep-th

R.R.Metsaev (Lebedev Physical Institute) This is my paper · ORCID

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keywords fieldsanti-decorrespondingfermionicfreegaugemasslesssitter

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abstract

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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