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Title: An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists ([EBook]) / Tatsuo Kobayashi, Hiroshi Ohki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto Dewey Class: 539.72015122 Author: Kobayashi, Tatsuo Edition statement: Second edition Added Personal Name: Ohki, Hiroshi Okada, Hiroshi Tanimoto, Morimitsu Shimizu, Yusuke Publication: Cham : Springer International Publishing, 2022 Physical Details: : online resource (xii, 353 p., ill.) Series: Lecture notes in physics; 995 ISBN: 9783662646793 Mode of acces to digital resource: Digital reproduction.-Cham :Springer International Publishing,2022. -Digital book. Cham Springer Nature 2022. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). Summary Note: This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics—particularly model building beyond the standard model—non-Abelian discrete symmetries have been applied particularly to understand the three-generation flavor structure. The non-Abelian discrete symmetries are indeed considered to be the most attractive choice for a flavor sector: Model builders have tried to derive experimental values of quark and lepton masses, mixing angles and CP phases on the assumption of non-Abelian discrete flavor symmetries of quarks and leptons, yet lepton mixing has already been intensively discussed in this context as well. Possible origins of the non-Abelian discrete symmetry for flavors are another topic of interest, as they can arise from an underlying theory, e.g., the string theory or compactification via orbifolding as geometrical symmetries such as modular symmetries, thereby providing a possible bridge between the underlying theory and corresponding low-energy sector of particle physics. The book offers explicit introduction to the group theoretical aspects of many concrete groups, and readers learn how to derive conjugacy classes, characters, representations, tensor products, and automorphisms for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. Further, CP symmetry and modular symmetry are also presented.: ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
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