On classification of equilibrium states of single-sublattice magnets with spin s = 3/2 and SU(4) symmetry of exchange Hamiltonian

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We investigate equilibrium magnetic phases of spin s = 3/2 system with SU(4) symmetry of exchange interaction. The classification equations for order parameters that violate SU(4) symmetry have been derived and exact solutions of these equations for subgroups SO(3), SO(3) × U(1), SO(3) × SO(3), SU(3), SU(3) × U(1), SO(4), SO(4) × U(1), SO(5) symmetry have been obtained.