Abstract
In the framework of \( \mathcal{N}=2 \) conformal supergravity in four dimensions, we introduce a nilpotent chiral superfield suitable for the description of partial supersymmetry breaking in maximally supersymmetric spacetimes. As an application, we construct Maxwell-Goldstone multiplet actions for partial \( \mathcal{N}=2\to \mathcal{N}=1 \) supersymmetry breaking on \( \mathrm{\mathbb{R}}\times {S}^3 \), AdS3 × S 1 (or its covering \( {\mathrm{AdS}}_3\times \mathrm{\mathbb{R}} \)), and a pp-wave spacetime. In each of these cases, the action coincides with a unique curved-superspace extension of the \( \mathcal{N}=1 \) supersymmetric Born-Infeld action, which is singled out by the requirement of U(1) duality invariance.
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Kuzenko, S.M., Tartaglino-Mazzucchelli, G. Nilpotent chiral superfield in \( \mathcal{N}=2 \) supergravity and partial rigid supersymmetry breaking. J. High Energ. Phys. 2016, 92 (2016). https://doi.org/10.1007/JHEP03(2016)092
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DOI: https://doi.org/10.1007/JHEP03(2016)092