Classifications of magnetized T4 and T4/Z2 orbifold models

We study constructions and classifications of three-generation models based on magnetized T-4 and T-4/Z(2) orbifold as candidates of the compact space. We focus on chiral fermion zero-mode wave functions in the extra dimensions. Freedoms of constant gauge fields, called Scherk-Schwarz phases are taken into account. We classify three-generation models in a systematic manner, clarifying the relationship between different models. The Higgs sector is also studied by analyzing possible assignments of the magnetic flux and Scherk-Schwarz phases, etc. to left- and right-handed fermions.

Automated summary

This study focuses on the constructions and classifications of three-generation models based on magnetized T-4 and T-4/Z(2) orbifold as possible compact space candidates. The main emphasis is on the chiral fermion zero-mode wave functions in the extra dimensions. The analysis takes into account the freedoms of constant gauge fields, known as Scherk-Schwarz phases. The relationship between different models is clarified through a systematic classification, and the Higgs sector is also studied by analyzing the possible assignments of magnetic flux and Scherk-Schwarz phases to left- and right-handed fermions.