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We study the general deformation of $\mathcal N=2$ supersymmetrytransformations of a vector multiplet that forms a (constant) triplet under the$SU(2)$ R-symmetry corresponding to the magnetic dual of the triplet of theFayet-Iliopoulos (FI) parameters. We show that in the presence of bothtriplets, the induced scalar potential of a vector multiplet with genericprepotential has always a minimum that realises partial breaking of $\mathcalN=2\to \mathcal N=1$ supersymmetry. We then consider the impact of thedeformation in the Dirac-Born-Infeld (DBI) action where one supersymmetry isnon-linearly realised, described by a nilpotent constraint on the deformed$\mathcal N=2$ chiral-chiral superfield. We show that the generic magneticdeformation induces an ordinary FI D-term along the linear supersymmetry viathe theta-angle. Moreover, we argue that the resulting action differs on-shellfrom the standard one (DBI+FI) by fermionic contributions.

$\mathcal N=2$ Supersymmetry Deformations, Electromagnetic Duality and Dirac-Born-Infeld Actions