Symmetry breaking and mass spectra in supersymmetric SO(10) models

We study the symmetry breaking of a supersymmetric SO(10) models using a simple general method for decomposing high-rank tensor representations and calculating Higgs-boson-mass spectra. We consider in detail the symmetry breaking of the SO(10) group to some interesting subgroups, such as the flipped SU(5)×U(1), $\mathrm{SU}\mathrm{}\left(4\right)\mathrm{}\times {\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}}_L\times {\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}}_R$, and $\mathrm{SU}\mathrm{}\left(3\right)\mathrm{}\times {\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}}_L\times {\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}}_R\times \mathrm{U}\mathrm{}\left(1\right)\mathrm{}$, with or without $D$ parity. We discuss some of the related phenomenological consequences.