  ABJM theory in the presence of a half-BPS domain wall is dual to the D2-D4
probe brane system with nonzero worldvolume flux. The ABJM domain wall was
recently shown to be integrable to lowest order in perturbation theory and bond
dimension. In the present paper we show that the string theory dual of this
system is integrable, namely that the string boundary conditions on the probe
D4-brane preserve the integrability of the Green-Schwarz sigma model. Our
result suggests that the ABJM domain wall is integrable to all loop orders and
for any value of the bond dimension.
