FREE MASSLESS HIGHER-SUPERSPIN SUPERFIELDS ON THE ANTI-DESITTER SUPERSPACE

Free massless higher-superspin superfields on the N = 1, D = 4 anti-de Sitter superspace are introduced. Linearized gauge transformations co rresponding to them are postulated. Two families of dually equivalent gauge-invariant action functionals are constructed for massless half-i nteger-superspin (s + 1/2, s greater-than-or-equal-to 2) and integer-s uperspin (s greater-than-or-equal-to 1) superfields. For s = 1, one of the formulations for half-integer superspins is reduced to linearized minimal N = 1 supergravity with a cosmological term, while the other is the lifting to the anti-de Sitter superspace of linearized nonminim al n = -1 supergravity.