  A super-Laplacian is a set of differential operators in superspace whose
highest-dimensional component is given by the spacetime Laplacian. Symmetries
of super-Laplacians are given by linear differential operators of arbitrary
finite degree and are determined by superconformal Killing tensors. We
investigate these operators and their symmetries in flat superspaces. The
differential operators form an algebra which can be identified in many cases
with the tensor algebra of the relevant superconformal Lie algebra modulo a
certain ideal, and which have applications to Higher Spin theories.
