Non-abelian discrete flavor symmetries fromT2/ZNorbifolds

Adulpravitchai, Adisorn; Blum, Alexander S.; Lindner, M.

doi:10.1088/1126-6708/2009/07/053

Cited by 50 publications

(35 citation statements)

References 55 publications

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“…Thus, its origin may be geometrical aspects of extra dimensions. For example, it is found that the two-dimensional orbifold T 2 /Z 2 with proper values of moduli has discrete symmetries such as A 4 and S 4 [12,13].…”

Section: Comments On Other Applicationsmentioning

confidence: 99%

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Non-Abelian Discrete Symmetries in Particle Physics

Ishimori

Kobayashi

Ohki

et al. 2010

Prog. Theor. Phys. Suppl.

916

1,022

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We review pedagogically non-Abelian discrete groups, which play an important role in the particle physics. We show group-theoretical aspects for many concrete groups, such as representations, their tensor products. We explain how to derive, conjugacy classes, characters, representations, and tensor products for these groups (with a finite number). We discussed them explicitly for3 ) and ∆(6N 2 ), which have been applied for model building in the particle physics. We also present typical flavor models by using A 4 , S 4 , and ∆(54) groups. Breaking patterns of discrete groups and decompositions of multiplets are important for applications of the non-Abelian discrete symmetry. We discuss these breaking patterns of the non-Abelian discrete group, which are a powerful tool for model buildings. We also review briefly about anomalies of non-Abelian discrete symmetries by using the path integral approach.

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Section: Comments On Other Applicationsmentioning

confidence: 99%

“…Actually, it was shown how the flavor symmetry A 4 (or S 4 ) can arise if the three fermion generations are taken to live on the fixed points of a specific 2-dimensional orbifold [12]. Further non-Abelian discrete symmetries can arise in a similar setup [13].…”

Section: Introductionmentioning

confidence: 99%

Non-Abelian Discrete Symmetries in Particle Physics

Ishimori

Kobayashi

Ohki

et al. 2010

Prog. Theor. Phys. Suppl.

916

1,022

View full text Add to dashboard Cite

show abstract

“…1 In such theories, the discrete Family Symmetry could have a dynamical origin as a result of the compactification of a 6d theory down to 4d [30][31][32][33]. The connection to string theory of these and other orbifold compactifications has also been discussed in [34].…”

Section: Jhep07(2018)057mentioning

confidence: 99%

“…For a better geometric display, and following [31][32][33], we may redefine 2πR 1 ⇒ 2 and 2πR 2 ⇒ 1. We also define z = x 5 + ix 6 .…”

Section: S 4 From Orbifoldingmentioning

confidence: 99%

An S4 × SU(5) SUSY GUT of flavour in 6d

Anda

King

2018

J. High Energ. Phys.

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Abstract:We propose a 6d model with a SUSY SU(5) gauge symmetry. After compactification, it explains the origin of the S 4 Family Symmetry with CSD3 vacuum alignment, as well as SU(5) breaking with doublet-triplet splitting. The model naturally accounts for all quark and lepton (including neutrino) masses and mixings, incorporating the highly predictive Littlest Seesaw structure. It spontaneously breaks CP symmetry, resulting in successful CP violation in the quark and lepton sectors, while solving the Strong CP problem. It also explains the Baryon Asymmetry of the Universe (BAU) through leptogenesis, with the leptogenesis phase directly linked to the Dirac and Majorana phases.

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“…Indeed, orbifolds have certain geometrical symmetries. Thus, field theories on orbifolds can realize non-Abelian discrete flavor symmetries and localized modes on fixed points of orbifolds correspond to certain reducible/irreducible representations [17,18].…”

Section: Introductionmentioning

confidence: 99%