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An Introduction to Non-Abel...
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 (QA(B(3C (Bthereby 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
Monografía
monografia Rebiun04508243 https://catalogo.rebiun.org/rebiun/record/Rebiun04508243 120724s2012 gw | s |||| 0|eng d 9783642308055 978-3-642-30805-5 9783642308048 ed. impresa) UM0696090 UMA.RE Ishimori, Hajime An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists Recurso electrónico] by Hajime Ishimori, Tatsuo Kobayashi, Hiroshi Ohki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto Servicio en línea Berlin, Heidelberg Springer Berlin Heidelberg Imprint: Springer 2012 Berlin, Heidelberg Berlin, Heidelberg Springer Berlin Heidelberg Imprint: Springer XII, 283 p. 8 illus. digital XII, 283 p. 8 illus. Lecture Notes in Physics 0075-8450 858 Introduction -- Basics of Finite Groups -- Subgroups and Decompositions of Multiplets -- Anomalies -- Non-Abelian Discrete Symmetry in Quark/Lepton Flavor Models -- Useful Theorems -- Representations of S4 in Different Bases -- Representations of A4 in Different Bases -- Representations of A5 in Different Bases -- Representations of T1 in Different Bases -- Other Smaller Groups -- References Acceso restringido a miembros del Consorcio de Bibliotecas Universitarias de Andalucía 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 (QA(B(3C (Bthereby 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 Modo de acceso: World Wide Web Springer (Phys) Physics Group theory Mathematical physics Quantum theory Physics Elementary Particles, Quantum Field Theory Mathematical Methods in Physics Mathematical Physics Group Theory and Generalizations Kobayashi, Tatsuo Ohki, Hiroshi Okada, Hiroshi Shimizu, Yusuke Tanimoto, Morimitsu SpringerLink (Online service) SpringerLink eBooks (Servicio en línea) Lecture Notes in Physics (Servicio en línea) Springer eBooks Springer eBooks