CLASSIFICATION OF STANDARD MODEL PARTICLES IN E<sub>6</sub>ORBIFOLD GRAND UNIFIED THEORIES

Kawamura, Yoshiharu; Miura, Takashi

doi:10.1142/s0217751x13500553

Cited by 13 publications

(11 citation statements)

References 63 publications

(91 reference statements)

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“…Many GUTs have been already discussed in e.g., Refs. [1,[4][5][6][7][8][9][10] for 4D GUTs; Refs. [11][12][13][14][15][16][17][18][19][20][21] for 5D GUTs; Ref.…”

Section: Introductionmentioning

confidence: 99%

String-inspired special grand unification

Yamatsu

2017

Progress of Theoretical and Experimental Physics

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We discuss a grand unified theory (GUT) based on an SO(32) GUT gauge group broken to its subgroups including a special subgroup. In the SO(32) GUT on six-dimensional (6D) orbifold space M 4 × T 2 /Z 2 , one generation of the SM fermions can be embedded into a 6D bulk Weyl fermion in the SO(32) vector representation. We show that for a three generation model, all the 6D and 4D gauge anomalies in the bulk and on the fixed points are canceled out without exotic chiral fermions at low energies. * Electronic address: yamatsu@cc.kyoto-su.ac.jp

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“…Many GUTs have been already discussed in e.g., Refs. [1,[4][5][6][7][8][9][10] for 4D GUTs; Refs. [11][12][13][14][15][16][17][18][19][20][21] for 5D GUTs; Ref.…”

Section: Introductionmentioning

confidence: 99%

String-inspired special grand unification

Yamatsu

2017

Progress of Theoretical and Experimental Physics

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“…Recently, the classification of the standard model fermions from bulk 27-plet fields in models with orbifold breakings of the E 6 unified symmetry is studied in Ref. [23]. While the above discussions focus on the contributions from A µ , we also incorporate the contribu- where Λ(x, y) = exp (iλ a (x, y)t a ) , (B.2) * * Also in ref.…”

Section: Summary and Discussionmentioning

confidence: 99%

The standard model gauge symmetry from higher-rank unified groups in grand gauge-Higgs unification models

Kojima

Takenaga

Yamashitâ

2017

J. High Energ. Phys.

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Abstract:We study grand unified models in the five-dimensional space-time where the extra dimension is compactified on S 1 /Z 2 . The spontaneous breaking of unified gauge symmetries is achieved via vacuum expectation values of the extra-dimensional components of gauge fields. We derive one-loop effective potentials for the zero modes of the gauge fields in SU(7), SU(8), SO(10), and E 6 models. In each model, the rank of the residual gauge symmetry that respects the boundary condition imposed at the orbifold fixed points is higher than that of the standard model. We verify that the residual symmetry is broken to the standard model gauge symmetry at the global minima of the effective potential for certain sets of bulk fermion fields in each model.

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“…Grand unified theories with E 6 gauge group have many theoretical advantages—anomaly free, the largest exceptional Lie group that has chiral representation, a possible unification of quarks, charged leptons, neutrinos and Higgs doublets—and therefore much attention has been paid in the literature .…”

Section: Matter‐parity In E6mentioning

confidence: 99%

“…Next we consider hypercharge. Since E 6 contains

U {(1)}_{Y}

, the following is satisfied,

\begin{matrix} true \\ right U {(1)}_{Z} \otimes U {(1)}_{V} \otimes U {(1)}_{V^{'}} \supset U {(1)}_{Y} . \end{matrix}

There are three assignments that are consistent with the Standard Model ,

\begin{matrix} true \\ right 1) & left \frac{Y}{2} = Z, & right S U (5) \supset U {(1)}_{Y} \end{matrix}

\begin{matrix} true \\ right 2) & left \frac{Y}{2} = - \frac{1}{5} (Z + V), & right S U (5) \neg \supset U {(1)}_{Y} \end{matrix}

\begin{matrix} true \\ right 3) & left \frac{Y}{2} = - \frac{1}{20} (4 Z - V - 5 V^{'}), & right S O (10) \neg \supset U {(1)}_{Y} . \end{matrix}

The first assignment given by eq. is the hypercharge of the original Georgi‐Glashow

S U (5)

model , the second one given by eq.…”

Section: Matter‐parity In E6mentioning

confidence: 99%

Gauge coupling unification with extra Higgs doublets

Harada

2016

Fortschr. Phys.

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CLASSIFICATION OF STANDARD MODEL PARTICLES IN E₆ORBIFOLD GRAND UNIFIED THEORIES

Cited by 13 publications

References 63 publications

String-inspired special grand unification

String-inspired special grand unification

The standard model gauge symmetry from higher-rank unified groups in grand gauge-Higgs unification models

Gauge coupling unification with extra Higgs doublets

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CLASSIFICATION OF STANDARD MODEL PARTICLES IN E6ORBIFOLD GRAND UNIFIED THEORIES

Cited by 13 publications

References 63 publications

String-inspired special grand unification

String-inspired special grand unification

The standard model gauge symmetry from higher-rank unified groups in grand gauge-Higgs unification models

Gauge coupling unification with extra Higgs doublets

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CLASSIFICATION OF STANDARD MODEL PARTICLES IN E₆ORBIFOLD GRAND UNIFIED THEORIES