Towards a unified theory of massless superfields of all superspins

We describe the universal linearized action for massless superfields of all superspins in N = 1, D = 4 anti-de Sitter superspace as a gauge theory of unconstrained superfields taking their values in the commutative algebra of analytic functions over a one-sheeted hyperboloid in R3,1. The action is invariant under N = 2 supersymmetry transformations which form a closed algebra off the mass-shell.