Compactification and Supersymmetry Breaking in M-theory
Abstract
Keeping N=1 supersymmetry in 4-dimension and in the leading order, we disuss 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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