Overlap formula for the chiral multiplet - art. no. 054507

The vacuum overlap formalism is extended to describe the supersymmetric mul tiplet of a Weyl fermion, a complex scalar boson and an auxiliary field in the case without an interaction, based on the fact that supersymmetry can b e maintained up to quadratic terms by introducing bosonic species doublers. We also obtain a local action which describes the chiral multiplet and dis cuss its symmetry structure. It is shown that, in addition to the manifest supersymmetry, the action possesses a chiral symmetry of the type given by Luscher and analogous bosonic symmetries which may be regarded as independe nt infinitesimal rotations of complex phases of the scalar and the auxiliar y fields. This implies that the U(1) X U(1)(R) symmetry of the chiral multi plet can be exact on the lattice. [S0556-2821(98)05419-8].