Z3 orbifolds of the SO(32) heterotic string: 1-Wilson-line embeddings

We consider compactification of the SO(32) heterotic string on a 6-dimensional Z3 orbifold with one discrete Wilson line. A complete set of all possible embeddings is given. The unbroken subgroups of SO(32) are tabulated. The extended gauge symmetry SU(3), recently discussed by J. E. Kim [hep-th/0301177] for semi-realistic E8 × E8 heterotic string models, occurs for several embeddings, as well as other groups that may be of interest in unified string models. The extent to which extra gauge group factors can be hidden is discussed and compared to the E8 × E8 case. Along flat directions where an effective hidden sector exists, the embeddings described here provide for hidden gauge groups that are not possible in the E8 × E8 heterotic string. ∗E-Mail: [email protected]