  The vacuum overlap formalism is extended to describe the supersymmetric
multiplet of a Weyl fermion, a complex scalar boson and an auxiliary field in
the case without interaction, based on the fact that supersymmetry can be
maintained upto quadratic terms by introducing bosonic species doublers. We
also obtain a local action which describes the chiral multiplet and discuss its
symmetry structure. It is shown that, besides the manifest supersymmetry, the
action possesses a chiral symmetry of the type given by L\"uscher and analogous
bosonic symmetries which may be regarded as independent infinitesimal rotations
of complex phases of the scalar and the auxiliary fields. This implies that the
$U(1) \times U(1)_R$ symmetry of the chiral multiplet can be exact on the
lattice.
