Quartification on an orbifold

Abstract

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.

Conformality

“…Orbifolds [15][16][17][18], conifolds [19][20][21][22][23], and orientifolds [24][25][26][27][28][29] have all played a part in building quiver gauge theories. In building models from orbifolded AdS 5 × S 5 , it is often convenient to break the quiver gauge group to the trinification [38] group SU(3) 3 or to the Pati-Salam [39][40][41] group SU(4) × SU(2) × SU(2), but there are again other possibilities, including more complicated intermediate groups like the quartification [42][43][44][45][46][47] symmetry SU(3) 4 that treats quarks and leptons on an equal footing. Furthermore, we are interested in orbifolds where the manifold M 5 is the five sphere S 5 .…”

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“…Quartification, from its inception by Joshi and Volkas [16], has historically been used for gauge-coupled unification without supersymmetry and for leptonic color models [9,[17][18][19][20][21].…”