GEOMETRICAL FORMULATION FOR THE SIEGEL SUPERPARTICLE

In the superspace z(M) = (x(mu),theta(R),theta(L)) the global symmetri es for d = 10 superparticle model with kinetic terms for both Bose and Fermi variables are shown to form a superalgebra, which includes the Poincare superalgebra as a subalgebra. The subalgebra is realized in t he space of variables of the theory by a nonstandard way. The local ve rsion of this model with off-shell closed Lagrangian algebra of gauge symmetries and off-shell global supersymmetry are presented. It is sho wn that the resulting model is dynamically equivalent to the Siegel su perparticle.