Toward Realistic Models in $T^2/{\mathbb{Z}}_2$ Flux Compactification

Abstract

We consider a six dimensional gauge theory compactified on $T^2/{\mathbb{Z}}_2$ with magnetic flux. The configurations of models are classified by winding numbers at the fixed points. Requiring the existence of generation numbers and Yukawa coupling, we see that allowed and forbidden configurations are described by geometry of winding numbers.

Comments: 27 pages, 8 figures