Abstract
We consider partial unification of Pati-Salam type based on the isometry group SU(4)× SU(2). This isometry arises from the compactification of the eleven-dimensional supergravity into M 4× S 5× S 2, and branches into SU(3)× SU(2)× U(1) subsequently. Their coupling constants and evolutions are studied by using one-loop renormalization group equations. However, the absence of quark-lepton representations in the harmonic expansion and the classical instability of the manifold are still unsolved problems.
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