Completing the eclectic flavor scheme of the ℤ2 orbifold

A bstract We present a detailed analysis of the eclectic flavor structure two-dimensional ℤ 2 orbifold with its two unconstrained moduli T and U as well SL(2 , ℤ) × modular symmetry. This provides thorough understanding mirror symmetry R -symmetries that appear consequence automorphy factors transformations. It leads to complete picture local unification in ( ) modulus landscape. In view applications towards particle physics models, we are led top-down constructions high predictive power. The first reason is very limited availability representations twisted matter fields their (fixed) weights. followed by severe restrictions from traditional (finite) symmetries, symmetry, $$ \mathcal{CP} CP on superpotential Kähler potential theory.