Matter-parity constraints on particle spectrum in three-generation Calabi-Yau manifolds

An analysis of the particle spectrum after intermediate scale breaking in the three-generation Calabi-Yau manifold CP3 x CP2/Z3 is given. The spectrum is investigated within the framework of intermediate scale breaking which preserves matter parity and breaks the rank-six gauge group SU(3)/sub C/ x SU(3)/sub L/ x SU(3)/sub R/ to the standard-model gauge group SU(3)/sub C/ x SU(2)/sub L/ x U(1)/sub Y/. It is shown that a large number of particles and mirror particles associated with the extra families and mirror families on CP3 x CP3/Z3 can all be made superheavy through mass generation induced by nonrenormalizable interactions that are present in the superpotential below the compactification scale. The final spectrum of the compactified superstring below the intermediate-mass scale breaking is shown to be the spectrum of the standard N=1 supersymmetry theory and a few additional exotic leptons. Some of these exotic leptons are hybrid structures containing equal mixture of leptons and mirror leptons