Finite flavour groups of fermions

Autor(en)

Walter Grimus, Patrick Otto Ludl

Abstrakt

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(en)

Teilchenphysik

Journal

Journal of Physics A: Mathematical and Theoretical

Band

45

Anzahl der Seiten

70

ISSN

1751-8113

DOI

https://doi.org/10.1088/1751-8113/45/23/233001

Publikationsdatum

2012

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103034 Teilchenphysik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/8a9b2206-164a-4667-af41-78bcea4f418c