An introduction to non-Abelian discrete symmetries for particle physicists / Tatsuo Kobayashi, Hiroshi Oki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto.
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 phy...
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Full Text (via Springer) |
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| Main Authors: | , , , , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin :
Springer,
2022.
|
| Edition: | Second edition. |
| Series: | Lecture notes in physics ;
v. 995. |
| Subjects: |
MARC
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| 100 | 1 | |a Kobayashi, Tatsuo, |e author. |0 http://id.loc.gov/authorities/names/n82086329 |1 http://isni.org/isni/0000000084056503. | |
| 245 | 1 | 3 | |a An introduction to non-Abelian discrete symmetries for particle physicists / |c Tatsuo Kobayashi, Hiroshi Oki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto. |
| 250 | |a Second edition. | ||
| 264 | 1 | |a Berlin : |b Springer, |c 2022. | |
| 300 | |a 1 online resource (1 volume) : |b illustrations (black and white, and colour) | ||
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| 490 | 1 | |a Lecture notes in physics ; |v volume 995. | |
| 505 | 0 | |a Introduction -- Basics of Finite Groups -- SN -- AN -- 5 T -- DN -- QN -- QD2N -- Subgroups and Decompositions of Multiplets -- Anomalies -- Non-Abelian Discrete Symmetry in Quark/Lepton Flavor Models -- Modular Group -- CP Symmetry -- Appendices. | |
| 504 | |a Includes bibliographical references, | ||
| 520 | |a 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 physicsparticularly model building beyond the standard modelnon-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. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Particles (Nuclear physics) |x Mathematical models. | |
| 650 | 0 | |a Non-Abelian groups. |0 http://id.loc.gov/authorities/subjects/sh85092216. | |
| 650 | 0 | |a Symmetry (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh2006001303. | |
| 700 | 1 | |a Ōki, Hiroshi, |e author. |0 http://id.loc.gov/authorities/names/n88061692 |1 http://isni.org/isni/0000000377279479. | |
| 700 | 1 | |a Okada, Hiroshi |c (Researcher in chemistry), |e author. |0 http://id.loc.gov/authorities/names/no2020142555. | |
| 700 | 1 | |a Shimizu, Yusuke, |e author. | |
| 700 | 1 | |a Tanimoto, Morimitsu, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Kobayashi, Tatsuo. |t Introduction to non-Abelian discrete symmetries for particle physicists. |b Second edition. |d Berlin : Springer, 2022 |z 9783662646786 |w (OCoLC)1295190244. |
| 830 | 0 | |a Lecture notes in physics ; |v v. 995. |0 http://id.loc.gov/authorities/names/n42015167. | |
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