Generalized Superconformal Symmetries and Supertwistor Dynamics

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We show that in the supersymmetry framework described by a Poincaré superalgebra with tensorial central charges the role of generalized superconformal symmetry which contains all these central charges is played by $OSp(1|2^{k})$, where k=3 for D=4. Following [1,2] we describe the free supertwistor model for $OSp(1|8)$. It appears that in such a scheme the tensorial central charges satisfy additional relations and the model describes the tower of supersymmetric massless states with an arbitrary (integer and half--integer) helicity spectrum.
7 pages, LaTeX

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