Discrete Wilson Lines in N=1 D=4 Type IIB Orientifolds: A Systematic Exploration for $\IZ_6$ Orientifold

TL;DR

This paper systematically constructs and analyzes discrete Wilson lines in N=1 D=4 Type IIB orientifolds, identifying models with realistic gauge groups and matter content, including potential phenomenologically viable configurations.

Contribution

It develops explicit methods for constructing Wilson lines in Z_6 orientifolds and explores their implications for model building with realistic gauge groups and chiral spectra.

Findings

Identified two classes of models with promising gauge structures.

Constructed models with three families and realistic gauge groups.

Calculated spectra and Yukawa couplings for specific models.

Abstract

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 Z_6 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} x SU(2)_L x SU(2)_R x U(1)_{B-L} gauge structure, arising from a set of branes located at the Z_6 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 Z_3 orbifold fixed points.