Three Family Type IIB Orientifold String Vacua with Non-Abelian Wilson Lines

TL;DR

This paper constructs a specific four-dimensional N=1 Type IIB orientifold model with three families, incorporating non-Abelian Wilson lines, and analyzes anomaly cancellation, spectrum, and potential phenomenological implications.

Contribution

It provides an explicit three-family model with non-Abelian Wilson lines, detailing anomaly cancellation, spectrum, and superpotential, advancing string model building techniques.

Findings

Anomaly cancellation via Green-Schwarz mechanism

Explicit particle spectrum and superpotential

Calculation of Fayet-Iliopoulos terms and gauge corrections

Abstract

We address the implementation of non-Abelian Wilson lines in D=4 N=1 Type IIB orientifold constructions. We present an explicit three-family example with the gauge group (U(4)xU(2)xSU(2)xSU(2))^2x(U(6)xSp(4))^2 and give the particle spectrum and the trilinear superpotential. Emphasizing the new subtleties associated with the introduction of non-Abelian Wilson lines, we show that the Abelian gauge anomalies are cancelled by the Green-Schwarz-type mechanism, and calculate the Fayet-Iliopoulos terms and gauge coupling corrections. The analysis thus sets a stage for further investigations of the phenomenological implications of this model.