Discrete Wilson lines in N=1 D=4 type IIB orientifolds: a systematic exploration for Z6 orientifold Original Research Article

We develop techniques to construct general discrete Wilson lines in four-dimensional N=1 type IIB orientifolds, their T-dual realization corresponds to branes positioned at the orbifold fixed points. The explicit order two and three Wilson lines along with their tadpole consistency conditions are given for D=4 N=1 Z6 type IIB orientifold. The systematic search for all models with general order three Wilson lines leads to a small class of inequivalent models. There are only two inequivalent classes of a potentially phenomenologically interesting model that has a possible SU(3)color×SU(2)L×SU(2)R×U(1)B–L gauge structure, arising from a set of branes located at the Z6 orbifold fixed point. We calculate the spectrum and Yukawa couplings for this model. On the other hand, introduction of anti-branes allows for models with three families and realistic gauge group assignment, arising from branes located at the Z3 orbifold fixed points.