  A novel realization of the gravity-mediated SUSY breaking is presented taking
into account a continuous global R symmetry. Consistently with it, we employ a
linear superpotential for the hidden sector superfield and a Kaehler potential
parameterizing the SU(1,1)/U(1) Kaehler manifold with constant curvature -1/2.
The classical vacuum energy vanishes without unnatural fine tuning and
non-vanishing soft SUSY-breaking parameters, of the order of the gravitino
mass, arise. A solution to the mu problem of MSSM may be also achieved by
conveniently applying the Giudice-Masiero mechanism. The potentially
troublesome R axion may acquire acceptably large mass by explicitly breaking
the R symmetry in the Kaehler potential through a quartic term which does not
affect, though, the achievements above.
