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 T2/(Z2)3 and T2/(Z2)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 M4×Tm/(Z2)L.
