Interactions of partially massless spin-2 with spin-3/2 fields are obstructed at second order unless a massless graviton is added, leading to N=1 conformal supergravity.
Fermionic fields in the d-dimensional anti-de Sitter spacetime
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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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A note on partially massless supergravity
Interactions of partially massless spin-2 with spin-3/2 fields are obstructed at second order unless a massless graviton is added, leading to N=1 conformal supergravity.