دانلود کتاب An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

فهرست مطالب :

Preface to the Second Edition
Preface to the First Edition
Contents
1 Introduction
2 Basics of Finite Groups
3 SN
3.1 S3
3.2 S4
4 AN
4.1 A4
4.2 A5
5 T\'
6 DN
6.1 DN with N= Even
6.2 DN with N= Odd
6.3 D4
6.4 D5
7 QN
7.1 QN with N=4n
7.2 QN with N=4n+2
7.3 Q4
7.4 Q6
8 QD2N
8.1 Generic Aspects
8.2 QD16
9 Σ(2N2)
9.1 Generic Aspects
9.2 Σ(18)
9.3 Σ(32)
9.4 Σ(50)
10 Δ(3N2)
10.1 Δ(3N2) with N/3 neq Integer
10.2 Δ(3N2) with N/3 = Integer
10.3 Δ(27)
10.4 Δ(48)
10.4.1 Conjugacy Classes and Tensor Products
10.4.2 The Different Bases of Δ(48)
11 TN
11.1 Generic Aspects
11.2 T7
11.3 T13 Group Theory
11.4 T19 Group Theory
12 Σ(3N3)
12.1 Generic Aspects
12.2 Σ(81)
13 Δ(6N2)
13.1 Δ(6N2) with N/3= Integer
13.2 Δ(6N2) with N/3= Integer
13.3 Δ(54)
13.4 Δ(96)
13.4.1 Conjugacy Classes
13.4.2 Characters and Representations
13.4.3 Tensor Products
14 Subgroups and Decompositions of Multiplets
14.1 S3
14.2 S4
14.3 A4
14.4 A5
14.5 T\'
14.6 General DN
14.7 D4
14.8 General QN
14.9 Q4
14.10 QD2N
14.11 General Σ(2N2)
14.12 Σ(32)
14.13 General Δ(3N2)
14.14 Δ(27)
14.15 General TN
14.16 T7
14.17 General Σ(3N3)
14.18 Σ(81)
14.19 General Δ(6N2)
14.20 Δ(54)
15 Finite Subgroups of Continuous Groups
15.1 Finite Subgroups of SO(3)
15.1.1 SO(3)toDN
15.1.2 SO(3)toA4
15.1.3 SO(3)toS4
15.2 Finite Subgroups of SU(2)
15.2.1 SU(2)toQN
15.2.2 SU(2)toT\'
15.3 Finite Subgroups of SU(3)
15.3.1 SU(3)toA4
15.3.2 SU(3)toA5
15.3.3 SU(3)toS4
15.3.4 SU(3)toDN
15.3.5 SU(3)toT\'
15.3.6 SU(3)toΔ(3N2)
15.3.7 SU(3)toΔ(6N2)
16 Modular Symmetry
17 Automorphism
17.1 Z3
17.2 Z2timesZ\'2
17.3 A4
17.4 Σ(18)
17.5 Δ(27)
18 Anomalies
18.1 Generic Aspects
18.2 Explicit Calculations
18.3 Comments on Anomalies
19 Non-Abelian Discrete Symmetry in Quark/Lepton Flavor Models
19.1 Neutrino Flavor Mixing and Neutrino Mass Matrix
19.2 A4 Flavor Symmetry
19.2.1 Realizing the Tri-Bimaximal Mixing of Flavors
19.2.2 Breaking Tri-Bimaximal Mixing
19.3 S4 Flavor Model
19.4 Alternative Flavor Mixing
19.5 Modular A4 Invariance and Neutrino Mixing
19.6 Comments on Other Applications
19.7 Comment on Origins of Flavor Symmetries
20 Generalized CP Symmetry
20.1 CP Transformation in Flavor Space
20.2 CP Violating Phase and Its Group Theoretical Origin
20.3 Modular Symmetry with Generalized CP Symmetry
20.3.1 CP Transformation of the Modulus τ
20.3.2 CP Transformation of Modular Multiplets
20.4 CP Violation by Modulus τ in A4 Model of Leptons
A Useful Theorems
B Representations of S4 in Several Bases
B.1 The Basis I
B.2 The Basis II
B.3 The Basis III
B.4 The Basis IV
C Representations of A4 in Different Basis
D Representations of A5 in Different Basis
D.1 The Basis I
D.2 The Basis II
E Representations of T\' in Different Basis
E.1 The Basis I
E.2 The Basis II
F Representations of Δ(96) in Different Basis
G Other Smaller Groups
G.1 Z 4 Z4
G.2 Z 8 Z2
G.3 (Z2timesZ4)Z2 (I)
G.4 (Z2timesZ4)Z2 (II)
G.5 Z3 Z8
G.6 (Z6timesZ2) Z2
G.7 Z9 Z3
H Generators of the Modular Group
I Modular Forms