LOCAL SYMMETRIES STRUCTURE OF THE SUPERPARTICLE AND SUPERGRAVITY BACKGROUNDS

The classical (1,0) superparticle in a curved superspace is considered . The minimal set of constraints to be imposed on the background for c orrect inclusion of interaction is found. The most general form of Sie gel-type local fermionic symmetry is presented. Gauge algebra of the m odel is shown to be closed off-shell (by means of adding one trivial s ymmetry) and deformed as compared to the hat one. The form and algebra ic structure of local symmetries of the theory are shown not to be def ormed (in comparing with the flat case) in the (1,0) supergravity back ground only.