Grand unified theories in coset space dimensional reduction

Kozimirov, N.G.; Tkachev, I.

doi:10.1007/bf01556168

Cited by 14 publications

(4 citation statements)

References 7 publications

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“…The embedding of R into G = G1 × G2 for the coset space (iii). (6), SO (10), G1 = SU (7), SO (12), SO (11), Sp( 10) SO( 13), Sp (12), E6 G2 = G2, Sp(4) G2 = SU(2) SU(5) × U(1) G1 = SU (6), SO (10), G1 = SU (7), SO( 13) SO (11), Sp( 10) Sp( 12), E6 G2 = G2, Sp(4) G2 = SU( 2) SO(10) × U(1) G1 = SO (12), SO( 13), G1 = SO (14), SO (15), E6 E7 G2 = G2, Sp(4)…”

Section: Table IVmentioning

confidence: 99%

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Model building by coset space dimensional reduction in ten dimensions with direct product gauge symmetry

et al. 2009

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We investigate ten-dimensional gauge theories whose extra six-dimensional space is a compact coset space, S/R, and gauge group is a direct product of two Lie groups. We list up candidates of the gauge group and embeddings of R into them. After dimensional reduction of the coset space, we find fermion and scalar representations of GGUT × U (1) with GGUT = SU (5), SO(10) and E6 which accomodate all of the standard model particles. We also discuss possibilities to generate distinct Yukawa couplings among the generations using representations with a different dimension for GGUT = SO(10) and E6 models.

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Section: Table IVmentioning

confidence: 99%

“…Thus CSDR models of D = 10 can bridge the superstring theory and the SM. In this spirit, many works have been done in ten dimension, but no realistic model has emerged yet [3,12,13,14,15,16,17,18,19]. A major obstacle to build realistic models is the difficulty to obtain all the SM fermions.…”

Section: Introductionmentioning

confidence: 99%

Model building by coset space dimensional reduction in ten dimensions with direct product gauge symmetry

et al. 2009

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“…One can obtain a chiral theory in four dimensions after the dimensional reduction even if one chooses that vector-like fermions present in these dimensions. However, no phenomenologically promising models have been found in D = 6, 10, 14 dimensions [26,[28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Model building by coset space dimensional reduction scheme using eight-dimensional coset spaces

Asai,

Sato,

Suda

et al. 2023

J. High Energ. Phys.

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We investigate the twelve-dimensional gauge-Higgs unification models with an eight- dimensional coset space as the extra space. For each model, we apply the coset space dimensional reduction procedure and examine the particle contents of the resulting four-dimensional theory. All combinations of inputs to the procedure are exhaustively analyzed under several assumptions. As a result, some twelve-dimensional SO(18) gauge theories lead to models of the SO(10) × U(1) grand unified theory in four dimensions, where fermions of the Standard Model appear in multiple generations along with scalars that may break the electroweak symmetry. The representations of the obtained scalars and fermions are summarized.

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“…This advantage increases the chance for the higher-dimensional model to be a promising candidate. No theories have been found quite promising, however, for the 6, 10, and 14 dimensional spacetimes [22,26,29,30,31,32,33,34,35,36].…”

Section: Introductionmentioning

confidence: 99%

Model building by coset space dimensional reduction in eight-dimensions

et al. 2009

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We investigate gauge-Higgs unification models in eight-dimensional spacetime where extra-dimensional space has the structure of a four-dimensional compact coset space. The combinations of the coset space and the gauge group in the eight-dimensional spacetime of such models are listed. After the dimensional reduction of the coset space, we identified $\mathrm{SO}(10)$, $\mathrm{SO}(10) \times \mathrm{U}(1)$ and $\mathrm{SO}(10) \times \mathrm{U}(1) \times \mathrm{U}(1)$ as the possible gauge groups in the four-dimensional theory that can accomodate the Standard Model and thus is phenomenologically promising. Representations for fermions and scalars for these gauge groups are tabulated.Comment: 7 page

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Grand unified theories in coset space dimensional reduction

Cited by 14 publications

References 7 publications

Model building by coset space dimensional reduction in ten dimensions with direct product gauge symmetry

Model building by coset space dimensional reduction in ten dimensions with direct product gauge symmetry

Model building by coset space dimensional reduction scheme using eight-dimensional coset spaces

Model building by coset space dimensional reduction in eight-dimensions

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