Abstract
We study the 6-dimensional N=2 supersymmetric grand unified theories with gauge group SU( N) and SO( M) on the extra space orbifolds T 2/( Z 2) 3 and T 2/( Z 2) 4, which can be broken down to the 4-dimensional N=1 supersymmetric SU(3)× SU(2)× U(1) n−3 model for the zero modes. We also study the models which have two SU(2) Higgs doublets (zero modes) from the 6-dimensional vector multiplet. We give the particle spectra, present the fields, the number of 4-dimensional supersymmetry and gauge group on the observable 3-brane or 4-brane and discuss some phenomenology for those models. Furthermore, we generalize our procedure for (4+ m)-dimensional N supersymmetric GUT breaking on the space–time M 4× T m /( Z 2) L .
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