A note on embedding non-Abelian finite flavor groups in continuous groups |
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Authors: | Paul H. Frampton Thomas W. Kephart Ryan M. Rohm |
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Affiliation: | 1. Department of Physics and Astronomy, UNC-Chapel Hill, NC 27599, United States;2. Department of Physics and Astronomy, Vanderbilt University, Nashville, TN 37235, United States |
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Abstract: | A non-Abelian finite flavor group G⊂SO(3) can have double covering G′⊂SU(2) such that G⊄G′. This situation is not contradictory, but quite natural, and we give explicit examples such as G=Dn, G′=Q2n and G=T, G′=T′. This observation can be crucial in particle theory model building. |
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