  Any 4d theory possessing $\mathcal{N}=1$ supersymmetry admits a so called
$\mathcal{S}$-multiplet, containing the conserved energy-momentum tensor and
supercurrent. When a defect is introduced into such a theory, the
$\mathcal{S}$-multiplet receives contributions localised on the defect, which
indicate the breaking of some translation symmetry and consequently also some
supersymmetries. We call this the defect multiplet. We classify such terms
corresponding to half-BPS defects which can be either three-dimensional,
preserving 3d $\mathcal{N}=1$, or two-dimensional, preserving
$\mathcal{N}=(0,2)$. The new terms localised on the defect furnish multiplets
of the reduced symmetry and give rise to the displacement operator.
