Abstract
We give a formulation of linearized minimal five-dimensional supergravity in $\mathcal{N}=1$ superspace. Infinitesimal local 5D diffeomorphisms, local 5D Lorentz transformations, and local 5D supersymmetry are all realized as off-shell superfield transformations. Compactification on an ${S}^{1}{/Z}_{2}$ orbifold and couplings to brane-localized supermultiplets are very simple in this formalism. We use this to show that five-dimensional supergravity can naturally generate \ensuremath{\mu} and $B\ensuremath{\mu}$ terms of the correct size in gaugino- or radion-mediated supersymmetry breaking. We also include a self-contained review of linearized minimal 4D supergravity in superspace.
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