By Hajime Ishimori,Tatsuo Kobayashi,Hiroshi Ohki,Hiroshi Okada,Yusuke Shimizu,Morimitsu Tanimoto
These lecture notes supply an academic evaluation of non-Abelian discrete teams and express a few functions to concerns in physics the place discrete symmetries represent an immense precept for version construction in particle physics. While Abelian discrete symmetries are usually imposed so that it will keep an eye on couplings for particle physics - particularly version development past the normal version - non-Abelian discrete symmetries were utilized to appreciate the three-generation style constitution specifically.
Indeed, non-Abelian discrete symmetries are thought of to be the main appealing selection for the flavour area: version developers have attempted to derive experimental values of quark and lepton plenty, and combining angles through assuming non-Abelian discrete taste symmetries of quarks and leptons, but, lepton blending has already been intensively mentioned during this context, besides. the potential origins of the non-Abelian discrete symmetry for flavors is one other subject of curiosity, as they could come up from an underlying conception - e.g. the string idea or compactification through orbifolding – thereby offering a potential bridge among the underlying concept and the corresponding low-energy zone of particle physics.
This textual content explicitly introduces and experiences the group-theoretical features of many concrete teams and indicates tips to derive conjugacy sessions, characters, representations, and tensor items for those teams (with a finite quantity) whilst algebraic relatives are given, thereby allowing readers to use this to different teams of curiosity.
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Additional info for An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists (Lecture Notes in Physics)
An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists (Lecture Notes in Physics) by Hajime Ishimori,Tatsuo Kobayashi,Hiroshi Ohki,Hiroshi Okada,Yusuke Shimizu,Morimitsu Tanimoto