Spontaneous breaking of global supersymmetries results in Goldstino fields which provide a nonlinear realisation of the supersymmetry algebra. A finite supersymmetry transformation of a Goldstino field can be used to generate a superfield whose components provide a linear realisation of the supersymmetry algebra. This construction also automatically determines the action of the algebra of supercovariant derivatives on Goldstino superfields, essential to the efficient computation of manifestly supersymmetric component actions for the Goldstinos, including coupling to matter fields. In this paper, we extend known constructions of Goldstino superfields resulting from spontaneous breaking of supersymmetry in flat four-dimensional \documentclass[12pt]{minimal}
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\begin{document}$ \mathcal{N} $\end{document} = 1 superspace to spontaneous breaking of \documentclass[12pt]{minimal}
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\begin{document}$ \mathcal{N} $\end{document} =1 and \documentclass[12pt]{minimal}
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\begin{document}$ \mathcal{N} $\end{document} =2 supersymmetry in AdS4.
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MIT, Ctr Theoret Phys, Cambridge, MA 02139 USAMIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
Adams, Allan
Jockers, Hans
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Stanford Univ, Dept Phys, Stanford, CA 94305 USA
Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAMIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
Jockers, Hans
Kumar, Vijay
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Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAMIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
Kumar, Vijay
Lapan, Joshua M.
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Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAMIT, Ctr Theoret Phys, Cambridge, MA 02139 USA