  We test recently proposed IR dualities and supersymmetry enhancement by
studying the supersymmetry on domain walls. In the $SU(3)$ Wess-Zumino model
studied in arXiv:1804.02018 and arXiv:1804.05707, we show that domain walls
exhibit supersymmetry enhancement. This model was conjectured to be dual to an
$\mathcal{N}=2$ abelian gauge theory. We show that domain walls on the gauge
theory side are consistent with the proposed duality, as they are described by
the same effective theory on the wall. In arXiv:1808.04173, a third model was
conjectured to be dual to the same IR theory. We study the phases and domain
walls of this model and we show that they also agree. We then consider the
analogous $SU(5)$ Wess-Zumino model, and study its mass deformations and
phases. We argue that even though one might expect supersymmetry enhancement in
this model as well, the analysis of its domain walls shows that there is none.
Finally, we study the $\mathcal{N}=2$ model in arXiv:1806.07714 which was
conjectured to have $\mathcal{N}=4$ supersymmetry in the IR. In this case we
don't see the supersymmetry enhancement on the domain wall; however, we argue
that half-BPS domain walls of the $\mathcal{N}=2$ algebra are quarter-BPS of
the $\mathcal{N}=4$ algebra. This is then in agreement with the conjectured
enhancement, even though it does not show that it takes place.
