Shio Tamba
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View article: Modular symmetry anomaly in magnetic flux compactification
Modular symmetry anomaly in magnetic flux compactification Open
We study modular symmetry anomalies in four-dimensional low-energy effective\nfield theory, which is derived from six-dimensional supersymmetric $U(N)$\nYang-Mills theory by magnetic flux compactification. The gauge symmetry $U(N)$\nis bro…
View article: Modular forms of finite modular subgroups from magnetized D-brane models
Modular forms of finite modular subgroups from magnetized D-brane models Open
We study modular transformation of holomorphic Yukawa couplings in magnetized\nD-brane models. It is found that their products are modular forms, which are\nnon-trivial representations of finite modular subgroups, e.g. $S_3$, $S_4$,\n$\\De…
View article: Quark mass matrices in magnetized orbifold models with localized Fayet-Iliopoulos terms
Quark mass matrices in magnetized orbifold models with localized Fayet-Iliopoulos terms Open
We study magnetized orbifold models. We assume the localized Fayet-Iliopoulos\nterms and the corresponding gauge background. Such terms lead to strong\nlocalization of zero-mode wavefunc- tions. In this setup, we compute quark mass\nmatric…
View article: Modular symmetry and non-Abelian discrete flavor symmetries in string compactification
Modular symmetry and non-Abelian discrete flavor symmetries in string compactification Open
We study the modular symmetry in magnetized D-brane models on $T^2$.\nNon-Abelian flavor symmetry $D_4$ in the model with magnetic flux $M=2$ (in a\ncertain unit) is a subgroup of the modular symmetry. We also study the modular\nsymmetry i…