Boson Realization of the SU(4) Model of High-Temperature Superconductivity

The SU(4) algebraic model of high-temperature superconductivity is studied employing the boson mapping techniques. The bosonization of the model enables us to get exact numerical solution of the model. The order parameters are discussed. The situation close to the SO(5) dynamical symmetry limit is interpreted as a modelling case for the behaviour of $D$-wave superconducting and antiferromagnetic phases in cuprates.