By Hajime Ishimori,Tatsuo Kobayashi,Hiroshi Ohki,Hiroshi Okada,Yusuke Shimizu,Morimitsu Tanimoto

ISBN-10: 364230804X

ISBN-13: 9783642308048


These lecture notes offer an educational assessment of non-Abelian discrete teams and convey a few functions to matters in physics the place discrete symmetries represent a major precept for version development in particle physics.  While Abelian discrete symmetries are usually imposed as a way to regulate 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 zone: version developers have attempted to derive experimental values of quark and lepton lots, and combining angles through assuming non-Abelian discrete style symmetries of quarks and leptons, but, lepton blending has already been intensively mentioned during this context, to boot. the prospective origins of the non-Abelian discrete symmetry for flavors is one other subject of curiosity, as they could come up from an underlying idea - e.g. the string conception or compactification through orbifolding – thereby delivering a potential bridge among the underlying conception and the corresponding low-energy region of particle physics.

 This textual content explicitly introduces and reviews the group-theoretical points of many concrete teams and indicates how one can derive conjugacy sessions, characters, representations, and tensor items for those teams (with a finite quantity) while algebraic kin are given, thereby permitting readers to use this to different teams of curiosity.

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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

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