We propose a new possibility to reconcile the coupling unification scenario with the triplet-doublet mass splitting and the proton stability based on 5-dimensional supersymmetric model with an SU(5)â€¦ (More)

We propose a generalization of spin algebra using three-index objects. There is a possibility that a triple commutation relation among three-index objects implies a kind of uncertainty relation amongâ€¦ (More)

We obtain the low-energy effective theory from string models with anomalous U(1) symmetry. The feature of soft supersymmetry breaking scalar masses and some phenomenological implications areâ€¦ (More)

We propose a generalization of cubic matrix mechanics by introducing a canonical triplet and study its relation to Nambu mechanics. The generalized cubic matrix mechanics we consider can beâ€¦ (More)

We study the mass spectrum of superparticles within supersymmetric grand unified models. For gaugino masses, it is pointed out that the GUT-relation in the SU(5) model is applicable to a more generalâ€¦ (More)

We derive formula of soft supersymmetry breaking scalar masses from 4-dimensional string models within a more generic framework. We consider effects of extra gauge symmetry breakings including anâ€¦ (More)

The dynamical determination of the boundary conditions in SU(N) gauge theory on the orbifold S/Z2 is discussed. We classify the equivalence classes of the boundary conditions, and then the vacuumâ€¦ (More)

It is shown that a certain sum rule for soft supersymmetryâ€“breaking scalar masses, which has been recently found in a certain class of superstring models, is universal for gauge-Yukawa unifiedâ€¦ (More)

We study the D-term contribution for anomalous U(1) symmetries in type I string models and derive general formula for the D-term contribution, assuming that the dominant source of SUSY breaking isâ€¦ (More)

Gauge theory defined on the orbifold M4Ã— (S/Z2) is investigated from the viewpoint of the Hosotani mechanism. Rearrangement of gauge symmetry takes place due to the dynamics of Wilson line phases.â€¦ (More)