We study a mechanism of symmetry transition upon compactification of a5-dimensional field theory on S¹/Z₂. The transition occurs unless all in a multiplet of a symmetry group have a common Z₂ parity on¹/Z₂. This mechanism is applied to a reduction of SU(5) gauge symmetry in unified theory, and phenomenological implications are discussed.
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Yoshiharu Kawamura (2000) studied this question.