On the classification of degenerate equilibrium states of multisublattice SU(4) magnets with spin s = 3/2

The equilibrium states of multisublattice magnets with spin s = 3/2 are studied. The developed approach essentially uses the symmetry properties of the Hamiltonian, the idea of the residual symmetry of the equilibrium state, and the form of order parameters. On this basis, without using any model assumptions, classification equations for order parameters are obtained. Solutions of these equations are given in cases of broken SU(3) and SU(4) symmetries. The equilibrium structure of order parameters is presented in terms of the spontaneous anisotropy parameters of the residual symmetry generator.