  We study a new class of inhomogeneous pp-wave solutions with 8 unbroken
supersymmetries in D=11 supergravity. The 9 dimensional transverse space is
Euclidean and split into 3 and 6 dimensional subspaces. The solutions have
non-constant gauge flux, which are described in terms of an arbitrary
holomorphic function of the complexified 6 dimensional space. The supermembrane
and matrix theory descriptions are also provided and we identify the relevant
supersymmetry transformation rules. The action also arises through a
dimensional reduction of N=1, D=4 supersymmetric Yang-Mills theory coupled to 3
gauge adjoint and chiral multiplets, whose interactions are determined by the
holomorphic function of the supergravity solution now constituting the
superpotential.
