Vertex operators for the supermembrane

We derive the vertex operators that are expected to govern the emission of the massless d=11 supermultiplet from the supermembrane in the light cone gauge. We demonstrate that they form a representation of the supersymmetry algebra and reduce to the type IIA superstring vertex operators under double dimensional reduction, as well as to the vertices of the d=11 superparticle in the point-particle limit. As a byproduct, our results can be used to derive the corresponding vertex operators for matrix theory and to describe its linear coupling to an arbitrary d=11 supergravity background. Possible applications are discussed. (author)