CP violation in weak interactions from orbifold reduction: possible unification structures

Abstract

We present a mechanism to generate complex phases from real 4+1 dimensional couplings in a model of weak interactions through dimensional reduction of a gauge theory. The orbifolding of a 4+1 dimensional Sp(4) × U(1) group is the minimal setup which provides both CP violation and an SU(2) × U(1) structure. We show that grand unification requires at least SO(11).

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