© 2016, The Author(s). In the framework of (Formula presented.) 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 (Formula presented.) supersymmetry breaking on (Formula presented.) , AdS3× S1 (or its covering (Formula presented.), and a pp-wave spacetime. In each of these cases, the action coincides with a unique curved-superspace extension of the (Formula presented.) supersymmetric Born-Infeld action, which is singled out by the requirement of U(1) duality invariance.
Kuzenko, S. M., & Tartaglino-Mazzucchelli, G. (2016). Nilpotent chiral superfield in N = 2 supergravity and partial rigid supersymmetry breaking. Journal of High Energy Physics, 2016(3), 1-25. . https://doi.org/10.1007/JHEP03(2016)092