Higgsless grand unified theory breaking and trinification

Carone, Christopher D.; Conroy, Justin M.

doi:10.1103/physrevd.70.075013

Cited by 39 publications

(40 citation statements)

References 30 publications

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“…Quite a lot of effort has been devoted [17] to naturally implement a grand unified trinification [18] model based on the gauge group SU 3 3 =Z 3 into extra dimensions. The multithroat construction clearly offers a simple implementation for such a theory.…”

Section: A Simple Geometric Construction For Trinificationmentioning

confidence: 99%

Field theory on multithroat backgrounds

Cacciapaglia¹,

Csáki²,

Grojean³

et al. 2006

Phys. Rev. D

128

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We consider extra dimensional field theory descriptions of backgrounds with N different throats where one of the extra dimensions in each throat is much larger than the others. Such backgrounds can be described by field theory on N 5D warped spaces which intersect on a ultraviolet (UV) brane. Given a field that propagates in all N throats there are N boundary conditions on the UV brane (which are determined by the effective Lagrangian on the UV brane) in addition to the boundary conditions on the N infrared branes. We derive a general set of UV boundary conditions and give examples of how they are applied to particular situations. Three simple example applications are given: in the first the number of families is determined by the number of throats and the SUSY flavor problem is solved via an S 3 symmetry of the throats; in the second we embed this scenario in a SUSY GUT with a solution of the doublet-triplet splitting problem based on the product group approach; while in the final example we show a simple geometric implementation of a SUSY trinification model on three throats.

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Section: A Simple Geometric Construction For Trinificationmentioning

confidence: 99%

Field theory on multithroat backgrounds

Cacciapaglia¹,

Csáki²,

Grojean³

et al. 2006

Phys. Rev. D

128

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“…In the N = 3 six-Higgs doublet model, for example, one does not need to introduce six complete 27-plets if the GUT group is broken by extra-dimensional boundary conditions on an interval, an approach discussed in Refs. [13]. It is also worth noting that in trinified theories where the equality of SU (3) gauge couplings at the unification scale is a consequence of string boundary conditions rather than a discrete cyclic symmetry of the field theory [14], the presence of N = 3 gluons would be consistent with the SU(3) 3 gauge symmetry and would allow unification without a large multiplicity of Higgs doublets.…”

Section: Completions and Conclusionmentioning

confidence: 99%

Higher-derivative Lee–Wick unification

Carone

2009

Physics Letters B

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We consider gauge coupling unification in Lee-Wick extensions of the Standard Model that include higher-derivative quadratic terms beyond the minimally required set. We determine how the beta functions are modified when some Standard Model particles have two Lee-Wick partners. We show that gauge coupling unification can be achieved in such models without requiring the introduction of additional fields in the higher-derivative theory and we comment on possible ultraviolet completions.

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“…The explicit form of V ij was determined in Ref. [15] for a model described by the trinification gauge group, with the entries functions of g 2 5 v 2 i as defined by the VEV structure. This parametrisation generalises to the quartification case, and reveals a zero eigenvalue for the vector 1/ √ 3{1, 1, √ 3, 1}, and non-zero eigenvalues for the remaining three eigenvectors, denoted as A µ X1 , A µ X2 and A µ X3 .…”

Section: B Brane Breakingmentioning

confidence: 99%

“…Even the SM Higgs field has a natural origin in orbifold models, with gauge-Higgs unified theories identifying the Higgs doublet as higher dimensional components of the gauge fields [19]. This type of hybrid model was recently explored in a supersymmetric trinification theory by Carone and Conroy [14,15]. They placed the trinification gauge supermultiplets on a five dimensional orbifold, and localised the full trinified matter content onto a brane.…”

Section: Introductionmentioning

confidence: 99%

Quartification on an orbifold

Demaria

McDonald

2007

Phys. Rev. D

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We investigate quartification models in five dimensions, with the fifth dimension forming an S 1 /Z2 × Z ′ 2 orbifold. The orbifold construction is combined with a boundary Higgs sector to break the quartified gauge group directly to a group H ⊂ SU (3) 4 which is operative at the electroweak scale. We consider H = GSM ⊗ SU (2) ℓ and H = GSM , where GSM is the standard model gauge group, and find that unification occurs only when the remnant leptonic colour symmetry SU (2) ℓ remains unbroken. Furthermore, the demands of a realistic low energy fermion spectrum specify a unique symmetry breaking route for the unifying case of H = GSM ⊗ SU (2) ℓ . We contrast this with four dimensional quartification models where unification may be achieved via a number of different symmetry breaking routes both with and without the remnant SU (2) ℓ symmetry. The boundary Higgs sector of our model may be decoupled to achieve a Higgsless limit and we show that the electroweak Higgs doublet may be identified as the fifth component of a higher dimensional gauge field. * Electronic address: a.demaria@physics.

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Higgsless grand unified theory breaking and trinification

Cited by 39 publications

References 30 publications

Field theory on multithroat backgrounds

Field theory on multithroat backgrounds

Higher-derivative Lee–Wick unification

Quartification on an orbifold

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