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Flavor Symmetry on Non-Commutative Compact Space and $SU(6) \times SU(2)_R$ Model by Abe, Y.; Hattori, C.; Ito, M.; Matsuda, M.; Matsunaga, M.; Matsuoka, T. is a scholarly article available to read on EtoBox.

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

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 $SU(6) \times SU(2)_R$ model, we explain not only fermion mass hierarchies but also hierarchical energy scales including the breaking scale of the GUT-type gauge symmetry, intermediate Majorana masses of R-handed neutrinos and the scale of $\mu$-term.

Author

Abe, Y.; Hattori, C.; Ito, M.; Matsuda, M.; Matsunaga, M.; Matsuoka, T.

Published

2001

Language

EN