An
introduction to non-abelian discrete symmetries for particle physicists
Ishimori, H. (Hajime)
text
bibliography
Electronic books.
gw
Berlin
New York
Springer
©2012
2012
monographic
eng
1 online resource.
These lecture notes provide a tutorial review of non-Abelian discrete groups and show some applications to issues in physics where discrete symmetries constitute an important principle for model building in particle physics. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics - in particular model building beyond the standard model - non-Abelian discrete symmetries have been applied to understand the three-generation flavor structure in particular. Indeed, non-Abelian discrete symmetries are considered to be the most attractive choice for the flavor sector: model builders have tried to derive experimental values of quark and lepton masses, and mixing angles by assuming non-Abelian discrete flavor symmetries of quarks and leptons, yet, lepton mixing has already been intensively discussed in this context, as well. The possible origins of the non-Abelian discrete symmetry for flavors is another topic of interest, as they can arise from an underlying theory - e.g. the string theory or compactification via orbifolding - thereby providing a possible bridge between the underlying theory and the corresponding low-energy sector of particle physics. This text explicitly introduces and studies the group-theoretical aspects of many concrete groups and shows how to derive conjugacy classes, characters, representations, and tensor products for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest.
Introduction -- Basics of Finite Groups -- SN -- AN -- T' -- DN -- QN -- QD2N -- [Sigma](2N2) -- [Delta](3N2) -- TN -- [Sigma](3N3) -- [Delta](6N2) -- Subgroups and Decompositions of Multiplets -- Anomalies -- Non-Abelian Discrete Symmetry in Quark/Lepton Flavor Models.
Hajime Ishimori [and others].
Includes bibliographical references and index.
Non-Abelian groups
Mathematical physics
Physique
Astronomie
Mathematical physics
Non-Abelian groups
Physics.
Group theory.
Mathematical physics.
Quantum theory.
Elementary Particles, Quantum Field Theory.
Mathematical Methods in Physics.
Group Theory and Generalizations.
QA171 .I58 2012
Lecture notes in physics ; 858
9783642308055
3642308058
364230804X
9783642308048
9783642308048
http://link.springer.com/10.1007/978-3-642-30805-5
GW5XE
120803
20170630045836.8
11077165
eng