Orbifold family unification in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gauge theory

Kawamura, Yoshiharu; Miura, Takashi

doi:10.1103/physrevd.81.075011

Cited by 16 publications

(12 citation statements)

References 73 publications

(60 reference statements)

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“…On two-dimensional torus T 2 (without magnetic flux), not only the simplest Z 2 case, also more complicated twisted orbifolds T 2 /Z N for N = 3, 4, 6 can be constructed [47] and their geometrical aspects are discussed [51][52][53] within the context of string theory. In a higherdimensional field theory, detailed studies of SU(N ) and SO(N ) gauge theory have been carried out [54][55][56][57][58]. Furthermore on T 6 , which has much amount of degrees of freedom compared with T 2 , other complex patterns are possible like T 6 /Z 7 , T 6 /Z 8 , T 6 /Z 12 and so on.…”

Section: Introductionmentioning

confidence: 98%

Operator analysis of physical states on magnetized T2/ZN orbifolds

Abe¹,

Fujimoto²,

Kobayashi³

et al. 2015

Nuclear Physics B

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We discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases T 2 /Z 3 , T 2 /Z 4 and T 2 /Z 6 . We can obtain the exact and analytical results which can be applicable for any larger values of the quantized magnetic flux M, and show that the (non-diagonalized) kinetic terms are generated via our formalism and the number of the surviving physical states are calculable in a rigorous manner by simply following usual procedures in linear algebra in any case. Our approach is very powerful when we try to examine properties of the physical states on (complicated) magnetized orbifolds T 2 /Z 3 , T 2 /Z 4 , T 2 /Z 6 (and would be in other cases on higher-dimensional torus) and could be an essential tool for actual realistic model construction based on these geometries. (Note: This article is registered under preprint number: arXiv:1409.5421.)

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Section: Introductionmentioning

confidence: 98%

Operator analysis of physical states on magnetized T2/ZN orbifolds

Abe¹,

Fujimoto²,

Kobayashi³

et al. 2015

Nuclear Physics B

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“…3 Note that their geometrical aspects are discussed [42][43][44] within the context of string theory. In a higher-dimensional field theory, detailed studies have been carried out [45][46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Classification of three-generation models on magnetized orbifolds

et al. 2015

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We classify the combinations of parameters which lead three generations of quarks and leptons in the framework of magnetized twisted orbifolds on $T^2/Z_2$, $T^2/Z_3$, $T^2/Z_4$ and $T^2/Z_6$ with allowing nonzero discretized Wilson line phases and Scherk-Schwarz phases. We also analyze two actual examples with nonzero phases leading to one-pair Higgs and five-pair Higgses and discuss the difference from the results without nonzero phases studied previously.Comment: 28 pages (main body and references) + 65 pages (full list of classification), 22 tables (v1); typos corrected, problem in sentence fixed (v2

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“…There are some attempts to unify GUT and family groups into a larger GUT group in 4D and higher-dimensional theories [35][36][37][38][39][40][41][42]. However, such attempts are based on GUT groups and their limited subgroups so-called regular subgroups: e.g., E 8 ⊃ E 7 ⊃ E 6 ⊃ SO(10) ⊃ SU (5) ⊃ G SM (:= SU (3) C ×SU (2) L ×U (1) Y ).…”

Section: Introductionmentioning

confidence: 99%

Family unification in special grand unification

Yamatsu

2018

Progress of Theoretical and Experimental Physics

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We discuss family unification in grand unified theory (GUT) based on an SU (19) GUT gauge group broken to its subgroups including a special subgroup. In the SU (19) GUT on the six-dimensional (6D) orbifold space M 4 × T 2 /Z 2 , three generations of the 4D SM Weyl fermions can be embedded into a 6D bulk Weyl fermions in an SU (19) second-rank anti-symmetric tensor representation. 6D and 4D gauge anomalies can be canceled out by considering proper matter content without 4D exotic chiral fermions at low energies. * Electronic address: yamatsu@high.hokudai.ac.jp

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Orbifold family unification inSO(2N)gauge theory

Abstract: We study the possibility of family unification on the basis of SO(2N ) gauge theory on themultiplets come from a single bulk multiplet of SO(2N ) after the orbifold breaking. Other multiplets including brane fields are necessary to compose three families of quarks and leptons.

Cited by 16 publications

References 73 publications

Operator analysis of physical states on magnetized T2/ZN orbifolds

Operator analysis of physical states on magnetized T2/ZN orbifolds

Classification of three-generation models on magnetized orbifolds

Family unification in special grand unification

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