Finite flavour groups of fermions
- Author(s)
- Walter Grimus, Patrick Otto Ludl
- Abstract
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.
- Organisation(s)
- Particle Physics
- Journal
- Journal of Physics A: Mathematical and Theoretical
- Volume
- 45
- No. of pages
- 70
- ISSN
- 1751-8113
- DOI
- https://doi.org/10.1088/1751-8113/45/23/233001
- Publication date
- 2012
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics, 103034 Particle physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/finite-flavour-groups-of-fermions(8a9b2206-164a-4667-af41-78bcea4f418c).html