Finite flavour groups of fermions

By W. Grimus, P. O. Ludl. 2011

170 citations recorded by the source corpus.

We present an overview of the theory of finite groups, with regard to their application as flavour symmetries in particle physics. In a general part, we discuss useful theorems concerning group structure, conjugacy classes, representations and character tables. In a specialized part, we attempt to give a fairly comprehensive review of finite subgroups of SO(3) and SU(3), in which we apply and illustrate the general theory. Moreover, we also provide a concise description of the symmetric and alternating groups and comment on the relationship between finite subgroups of U(3) and finite subgroups of SU(3). Although in this review we give a detailed description of a wide range of finite groups, the main focus is on the methods which allow the exploration of their different aspects.

Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4937b9cfe3d292af666d0b2bc639f6a62054ee75

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In Nuclear and High Energy Physics

1. S. King
2. C. Luhn
3. M. Schmidt
4. M. Holthausen
5. Manfred Lindner
6. Z. Xing
7. F. Feruglio
8. Igor P. Ivanov

Citations in the corpus

• CP and discrete flavour symmetries (2012, background): “See [33–35] for an overview of discrete groups, which have been used in the context of flavour symmetries.”
• Neutrino mass and mixing with discrete symmetry (2013, background): “Subgroups of U(3) can be derived from SU(3) [44], however, a complete classification is still lacking [80].”