Vector coherent state theory for the S,D fermion pair algebra

The Ginocchio S,D fermion pair algebra is treated by vector coherent state theory to gain explicit matrix representations forthe physically relevant states of low S,D-pair generalized seniority for both the SO(8) ⊃ SO(6) × SO(2) and SO(7) ⊃ SO(5) × SO(2) branches. Although no boson approximations are necessary, vector coherent state theory is also used to give an exact, analytical s,d-boson realization of this fermion S,D-pair model.