Modular symmetry and non-Abelian discrete flavor symmetries in string compactification

摘要

We study the modular symmetry in magnetized D-brane models on T 2 . Non-Abelian flavor symmetry D 4 in the model with magnetic flux M = 2 (in a certain unit) is a subgroup of the modular symmetry. We also study the modular symmetry in heterotic orbifold models. The T 2 / Z 4 orbifold model has the same modular symmetry as the magnetized brane model with M = 2 , and its flavor symmetry D 4 is a subgroup of the modular symmetry.