<i>SO</i>(10) unified theories in six dimensions

Hall, Lawrence J.; Nomura, Yasunori; Okui, Takemichi; Smith, David R.

doi:10.1103/physrevd.65.035008

Cited by 185 publications

(280 citation statements)

References 30 publications

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“…We start from an SO(10) gauge theory in 6D with N = 1 supersymmetry compactified on the orbifold T 2 /(Z I 2 ×Z ps 2 ×Z gg 2 ) [28,29]. The theory has four fixed points, O i , O ps , O gg and O fl , located at the four corners of a 'pillow' corresponding to the two compact dimensions (cf.…”

Section: D Orbifold Gut Modelmentioning

confidence: 99%

Flavour Structure and Proton Decay in 6D Orbifold GUTs

Buchmüller

Covi

Emmanuel-Costa³

et al. 2004

J. High Energy Phys.

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We study proton decay in a supersymmetric SO(10) gauge theory in six dimensions compactified on an orbifold. The dimension-5 proton decay operators are forbidden by R-symmetry, whereas the dimension-6 operators are enhanced due to the presence of KK towers. Three sequential quark-lepton families are localised at the three orbifold fixed points, where SO(10) is broken to its three GUT subgroups. The physical quarks and leptons are mixtures of these brane states and additional bulk zero modes. This leads to a characteristic pattern of branching ratios in proton decay, in particular the suppression of the p → µ + K 0 mode.

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Section: D Orbifold Gut Modelmentioning

confidence: 99%

Flavour Structure and Proton Decay in 6D Orbifold GUTs

Buchmüller

Covi

Emmanuel-Costa³

et al. 2004

J. High Energy Phys.

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“…Conditions analogous to (2.9) and (2.12) have to be imposed on the other two sides of the square, but the phases may be different both for the fields, 13) and for the derivatives,…”

Section: (24)mentioning

confidence: 99%

“…Quantum field theory in six dimensions has been studied in connection to various alternatives for physics beyond the standard model, and was shown to provide explanations for proton stability [1], the origin of electroweak symmetry breaking [2,3,4,5], the number of fermion generations [6,7,8,9,10,11], and the breaking of grand unified gauge groups [12,13,14].…”

Section: Introductionmentioning

confidence: 99%

Chiral Compactification on a Square

Dobrescu

Pontón

2004

J. High Energy Phys.

104

164

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We study quantum field theory in six dimensions with two of them compactified on a square. A simple boundary condition is the identification of two pairs of adjacent sides of the square such that the values of a field at two identified points differ by an arbitrary phase. This allows a chiral fermion content for the four-dimensional theory obtained after integrating over the square. We find that nontrivial solutions for the field equations exist only when the phase is a multiple of π/2, so that this compactification turns out to be equivalent to a T 2 /Z 4 orbifold associated with toroidal boundary conditions that are either periodic or anti-periodic. The equality of the Lagrangian densities at the identified points in conjunction with six-dimensional Lorentz invariance leads to an exact Z 8 × Z 2 symmetry, where the Z 2 parity ensures the stability of the lightest Kaluza-Klein particle.

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“…The SO(10) unified theories in 6D were first considered in Refs. [12,13]. In particular, 6D SO(10) theories on T 2 /(Z 2 × Z ′ 2 ) have been constructed in Ref.…”

Section: Gauge Unification On Asymmetricmentioning

confidence: 99%

“…Finally, matter which resides on the SU(5) fixed point is expected to be heavy, since its mass is not suppressed by a volume dilution factor, and to exhibit SU(5) mass relations, reflecting the symmetry at that point [1]. On the other hand, matter in the bulk will be light, and will not respect SU(5) mass relations because the zero mode structure is greatly affected by the SU(5) breaking defect at x 5 = πR 5 [1,7] -hence there is a successful correlation: only the heavier fermions are expected to exhibit unified mass relations [2,8,9]. A simple, realistic grand unified construction is complete.…”

Section: Introductionmentioning

confidence: 99%

and unified theories on an elongated rectangle

Hall

Nomura

2004

Nuclear Physics B

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Maximally supersymmetric SO(10) and SU (6) unified theories are constructed on the orbifold T 2 /(Z 2 × Z ′ 2 ), with one length scale R 5 taken much larger than the other, R 6 . The effective theory below 1/R 6 is found to be the highly successful SU (5) theory in 5D with natural doublet-triplet splitting, no proton decay from operators of dimension four or five, unified mass relations for heavier generations only, and a precise prediction for gauge coupling unification. A more unified gauge symmetry, and the possibility of Higgs doublets being components of the higher dimensional gauge multiplet, are therefore compatible with a large energy interval where physics is described by SU (5) gauge symmetry in 5D. This leads to the distinctive branching ratios for proton decay from SU (5) gauge boson exchange, p → l + π 0 , l + K 0 ,νπ + ,νK + (l = e, µ), for well-motivated locations for matter. Several phenomenological features of the higher unified gauge symmetry are discussed, including the role of an extra U (1) gauge symmetry, which survives compactification, in the generation of neutrino masses.

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SO(10) unified theories in six dimensions

Cited by 185 publications

References 30 publications

Flavour Structure and Proton Decay in 6D Orbifold GUTs

Flavour Structure and Proton Decay in 6D Orbifold GUTs

Chiral Compactification on a Square

and unified theories on an elongated rectangle

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