A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Scientific paper

10.1016/j.physletb.2009.08.029

A nonabelian finite flavor group $G \subset SO(3)$ can have double covering
$G^{'} \subset SU(2)$ such that $G \not\subset G^{'}$. This situation is not
contradictory, but quite natural, and we give explicit examples such as $G=D_n,
G^{'}=Q_{2n}$ and $G=T, G^{'}=T^{'}$. This observation can be crucial in
particle theory model building.

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