Higher Spins from Tensorial Charges and OSp(N |2n) Symmetry

It is shown that the quantization of a superparticle propagating in an N = 1, D = 4 superspace extended with tensorial coordinates results in an infinite tower of massless spin states satisfying the Vasiliev unfolded equations for higher spin fields in flat and AdS4 N = 1 superspace. The tensorial extension of the AdS4 superspace is proved to be a supergroup manifold OSp (1|4). The model is manifestly invariant under an OSp (N |8) (N=1,2) superconformal symmetry. As a byproduct, we find that the Cartan forms of arbitrary Sp(2n) and OSp(1|2n) groups are GL (2n) flat, i.e. they are equivalent to flat Cartan forms up to a GL (2n) rotation. This property is crucial for carrying out the quantization of the particle model on OSp (1|4) and getting the higher spin field dynamics in super AdS4, which can be performed in a way analogous to the flat case.