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

@article{Kobayashi2018ModularSA,
  title={Modular symmetry and non-Abelian discrete flavor symmetries in string compactification},
  author={Tatsuo C. Kobayashi and Satoshi Nagamoto and Shintaro Takada and Shio Tamba and Takuya H. Tatsuishi},
  journal={Physical Review D},
  year={2018}
}
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. 

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References

SHOWING 1-10 OF 66 REFERENCES

Non-Abelian discrete flavor symmetries of 10D SYM theory with magnetized extra dimensions

A bstractWe study discrete flavor symmetries of the models based on a ten-dimensional supersymmetric Yang-Mills (10D SYM) theory compactified on magnetized tori. We assume non-vanishing

String-derived D4 flavor symmetry and phenomenological implications

In this paper we show how some flavor symmetries may be derived from the heterotic string, when compactified on a 6D orbifold. In the body of the paper we focus on the D{sub 4} family symmetry,

Discrete flavor symmetries in D-brane models

A bstractWe study the presence of discrete flavor symmetries in D-brane models of particle physics. By analyzing the compact extra dimensions of these models one can determine when such symmetries

Non-Abelian discrete gauge symmetries in 4d string models

A bstractWe study the realization of non-Abelian discrete gauge symmetries in 4d field theory and string theory compactifications. The underlying structure generalizes the Abelian case, and follows

Zero-modes on orbifolds : magnetized orbifold models by modular transformation

We study T2/ZN orbifold models with magnetic fluxes. We propose a systematic way to analyze the number of zero-modes and their wave functions by use of modular transformation. Our results are
...