A note on embedding non-Abelian finite flavor groups in continuous groups

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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Bibliographic Details
Published in:Physics letters. B 2009-09, Vol.679 (5), p.478-481
Main Authors: Frampton, Paul H., Kephart, Thomas W., Rohm, Ryan M.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Nuclear physics
Physics
The physics of elementary particles and fields
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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2009.08.029