Flavor Symmetry on Non-Commutative Compact Space and $SU(6) \times SU(2)_R$ Model

@inproceedings{Abe2001FlavorSO,
  title={Flavor Symmetry on Non-Commutative Compact Space and \$SU(6) \times SU(2)\_R\$ Model},
  author={Yoshikazu Abe and Chuichiro Hattori and M. Itō and Masahisa Matsuda and Mamoru Matsunaga and Takeo Matsuoka},
  year={2001}
}
In the four-dimensional effective theory from string compactification discrete flavor symmetries arise from symmetric structure of the compactified space and generally contain both the R symmetry and non- R symmetry. We point out that a new type of non-Abelian flavor symmetry can also appear if the compact space is non-commutative. Introducing the dihedral group D 4 as such a new type of flavor symmetry together with the R symmetry and non- R symmetry in SU (6) × SU (2) R model, we explain not only… 
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