Grand unified models in heterotic asymmetric orbifolds

Abstract

We consider string realization of E6 SUSY GUT with adjoint Higgs fields in heterotic string theory. We require minimum phenomenological requirements for E6 SUSY GUTs (four-dimensional N = 1 supersymmetry, E6 grand unified group, three generations and adjoint representation Higgs fields) for our string model building. In order to realize an adjoint Higgs field, we use diagonal embedding method and utilize lattice engineering technique for the model building. In the framework of Z12 heterotic asymmetric orbifold construction, we obtain two more three-family E6 models with an adjoint Higgs field.