Unification of Gauge, Higgs and Matter in Extra Dimensions

Abstract

We consider the unification of gauge, Higgs as well as the matter fields in a 6D N=2 supersymmetric SU(8) gauge theory. The gauge symmetry SU(8) is broken down to SU(4) x SU(2)_L x SU(2)_R x U(1)^2 in 4D through T^2/Z_6 orbifold compactification, and the theory is reduced to 4D N=1 supersymmetric Pati-Salam model. The electroweak Higgs fields as well as the third family of fermions are unified in the 6D N=2 gauge multiplet. The 6D bulk gauge interaction provides both gauge and Yukawa interactions for the third family predicting α_1 = α_2 = α_3 = α_t = α_b = α_tau at the unification scale, in good agreement with experiment. Incorporation of the first and second family as well as other orbifolds are also briefly discussed.

13 pages and 1 figure, some minor corrections and references added

References in corpus (4)

• Unification of Higgs and Gauge Fields in Five Dimensions
• Gauge Higgs Unification in the Left-Right Model
• Orbifold Breaking of 3-3-1 Model
• A simple model of generating fermion mass hierarchy in N=1 supersymmetric 6D SO(10) GUT

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