  The addition of supersymmetric Chern-Simons terms to ${\cal N}=8$
super-Yang-Mills theory in three-dimensions is expected to make the latter flow
into infrared superconformal phases. We address this problem holographically by
studying the effect of the Romans mass on the D2-brane near-horizon geometry.
Working in a consistent, effective four-dimensional setting provided by $D=4$
${\cal N}=8$ supergravity with a dyonic $\textrm{ISO(7)}$ gauging, we verify
the existence of a rich web of supersymmetric domain walls triggered by the
Romans mass that interpolate between the (four-dimensional description of the)
D2-brane and various superconformal phases. We also construct domain walls for
which both endpoints are superconformal. While most of our results are
numerical, we provide analytic results for the $\textrm{SU}(3)\times
\textrm{U}(1)$-invariant flow into an ${\cal N}=2$ conformal phase recently
discovered.
