Non-Abelian discrete flavor symmetries on orbifolds

Hiroyuki Abe; Kang Sin Choi; Tatsuo Kobayashi; Hiroshi Ohki; Manabu Sakai

doi:10.1142/S0217751X11054061

Non-Abelian discrete flavor symmetries on orbifolds

Hiroyuki Abe, Kang Sin Choi, Tatsuo Kobayashi, Hiroshi Ohki, Manabu Sakai

Scranton Honors Program

Research output: Contribution to journal › Review article › peer-review

13 Scopus citations

Abstract

We study non-Abelian flavor symmetries on orbifolds, S¹/Z ₂ and T²/Z₃. Our extra dimensional models realize D_N, Σ(2N²), Δ(3N²) and Δ(6N²) including A₄ and S₄. In addition, one can also realize their subgroups such as Q_N, T₇, etc. The S₃ flavor symmetry can be realized on both S¹/Z ₂ and T²/Z₃ orbifolds.

Original language	English
Pages (from-to)	4067-4082
Number of pages	16
Journal	International Journal of Modern Physics A
Volume	26
Issue number	23
DOIs	https://doi.org/10.1142/S0217751X11054061
State	Published - 20 Sep 2011

Bibliographical note

Funding Information:
H. Abe is supported in part by the Waseda University Grant for Special Research Projects No. 2010B-185. K.-S. Choi, T. Kobayashi and H. Ohki are supported in part by the Grant-in-Aid for Scientific Research No. 20·08326, No. 20540266 and No. 21·897 from the Ministry of Education, Culture, Sports, Science and Technology of Japan. T. Kobayashi is also supported in part by the Grant-in-Aid for the Global COE Program “The Next Generation of Physics, Spun from Universality and Emergence” from the Ministry of Education, Culture, Sports, Science and Technology of Japan.

Keywords

Particle flavor model
discrete flavor model

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10.1142/S0217751X11054061

Cite this

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title = "Non-Abelian discrete flavor symmetries on orbifolds",

abstract = "We study non-Abelian flavor symmetries on orbifolds, S1/Z 2 and T2/Z3. Our extra dimensional models realize DN, Σ(2N2), Δ(3N2) and Δ(6N2) including A4 and S4. In addition, one can also realize their subgroups such as QN, T7, etc. The S3 flavor symmetry can be realized on both S1/Z 2 and T2/Z3 orbifolds.",

keywords = "Particle flavor model, discrete flavor model",

author = "Hiroyuki Abe and Choi, {Kang Sin} and Tatsuo Kobayashi and Hiroshi Ohki and Manabu Sakai",

note = "Funding Information: H. Abe is supported in part by the Waseda University Grant for Special Research Projects No. 2010B-185. K.-S. Choi, T. Kobayashi and H. Ohki are supported in part by the Grant-in-Aid for Scientific Research No. 20·08326, No. 20540266 and No. 21·897 from the Ministry of Education, Culture, Sports, Science and Technology of Japan. T. Kobayashi is also supported in part by the Grant-in-Aid for the Global COE Program “The Next Generation of Physics, Spun from Universality and Emergence” from the Ministry of Education, Culture, Sports, Science and Technology of Japan.",

year = "2011",

month = sep,

day = "20",

doi = "10.1142/S0217751X11054061",

language = "English",

volume = "26",

pages = "4067--4082",

journal = "International Journal of Modern Physics A",

issn = "0217-751X",

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TY - JOUR

T1 - Non-Abelian discrete flavor symmetries on orbifolds

AU - Abe, Hiroyuki

AU - Choi, Kang Sin

AU - Kobayashi, Tatsuo

AU - Ohki, Hiroshi

AU - Sakai, Manabu

N1 - Funding Information: H. Abe is supported in part by the Waseda University Grant for Special Research Projects No. 2010B-185. K.-S. Choi, T. Kobayashi and H. Ohki are supported in part by the Grant-in-Aid for Scientific Research No. 20·08326, No. 20540266 and No. 21·897 from the Ministry of Education, Culture, Sports, Science and Technology of Japan. T. Kobayashi is also supported in part by the Grant-in-Aid for the Global COE Program “The Next Generation of Physics, Spun from Universality and Emergence” from the Ministry of Education, Culture, Sports, Science and Technology of Japan.

PY - 2011/9/20

Y1 - 2011/9/20

N2 - We study non-Abelian flavor symmetries on orbifolds, S1/Z 2 and T2/Z3. Our extra dimensional models realize DN, Σ(2N2), Δ(3N2) and Δ(6N2) including A4 and S4. In addition, one can also realize their subgroups such as QN, T7, etc. The S3 flavor symmetry can be realized on both S1/Z 2 and T2/Z3 orbifolds.

AB - We study non-Abelian flavor symmetries on orbifolds, S1/Z 2 and T2/Z3. Our extra dimensional models realize DN, Σ(2N2), Δ(3N2) and Δ(6N2) including A4 and S4. In addition, one can also realize their subgroups such as QN, T7, etc. The S3 flavor symmetry can be realized on both S1/Z 2 and T2/Z3 orbifolds.

KW - Particle flavor model

KW - discrete flavor model

UR - http://www.scopus.com/inward/record.url?scp=80052910164&partnerID=8YFLogxK

U2 - 10.1142/S0217751X11054061

DO - 10.1142/S0217751X11054061

M3 - Review article

AN - SCOPUS:80052910164

SN - 0217-751X

VL - 26

SP - 4067

EP - 4082

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

IS - 23

ER -

Non-Abelian discrete flavor symmetries on orbifolds

Abstract

Bibliographical note

Keywords

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