Keeping $N=1$ supersymmetry in 4 dimensions and in the leading order, we discuss the various orbifold compactifications of M theory suggested by Horava and Witten on T⁶/Z₃, T⁶/Z₆, T⁶/Z₁₂, and the compactification by keeping singlets under SU(2)×U(1) symmetry, then the compactification on S¹/Z₂. We also discuss the next to leading order K\"ahler potential, superpotential, and gauge kinetic function in the Z₁₂ case. In addition, we calculate the SUSY breaking soft terms and find out that the universality of the scalar masses will be violated, but the violation might be very small.
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Tianjun Li (1998) studied this question.