Abstract

We have seen that supersymmetric orbifold GUTs retain many of the nice features of 4D GUTs, such as gauge coupling unification and GUT relations for Yukawa couplings. In addition, they replace the complicated GUT breaking and doublet-triplet splitting sectors of the 4D theory by the very elegant mathematics of orbifolding with discrete symmetries. They also open up new mechanisms for supersymmetry breaking. However, on the down side, these orbifold GUT theories are non-renormalizable and therefore an explicit cut-off must be introduced. In this chapter we begin the discussion of embedding supersymmetric orbifold GUTs into string theory. In a string theory, the arbitrary cut-off is replaced by the physical string scale. Moreover, string theory has the benefit of also including quantum gravity.

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