We propose new backgrounds of extra dimensions to lead to four-dimensional chiral models with three generations of matter fermions, that is T2/ZN twisted orbifolds with magnetic fluxes. We consider gauge theory on six-dimensional space-time, which contains the T2/ZN orbifold with magnetic flux, Scherk-Schwarz phases and Wilson line phases. We classify all the possible Scherk-Schwarz and Wilson line phases on T2/ZN orbifolds with magnetic fluxes. The behavior of zero modes is studied. We derive the number of zero modes for each eigenvalue of the ZN twist, showing explicitly examples of wave functions. We also investigate Kaluza-Klein mode functions and mass spectra.
@article{arxiv.1309.4925,
title = {$Z_N$ twisted orbifold models with magnetic flux},
author = {Tomo-hiro Abe and Yukihiro Fujimoto and Tatsuo Kobayashi and Takashi Miura and Kenji Nishiwaki and Makoto Sakamoto},
journal= {arXiv preprint arXiv:1309.4925},
year = {2014}
}