Nilpotent chiral superfield in N = 2 $$ mathcal{N}=2 $$ supergravity and partial rigid supersymmetry breaking

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 $$ mathcal{n}=2to mathcal{n}=1 $$ supersymmetry breaking on $$ mathrm{mathbb{r}}times {s}^3 $$ , ads3 × s 1 (or its covering $$ {mathrm{ads}}_3times mathrm{mathbb{r}} $$ ), 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.