Split Multiplets, Coupling Unification and Extra Dimension

We study a gauge coupling unification scenario based on a non-supersymmetric 5-dimensional model. Through an orbifold compactification, we obtain the Standard Model with split multiplets on a 4-dimensional wall, which is compatible with a grand unification.Comment: 10 pages, latex, no figure

Topological Grand Unification

We propose a new grand unification scenario for ensuring proton stability and triplet-doublet Higgs mass splitting with the help of topological symmetry and dynamics.Comment: 9 pages, version to appear in PT

SUSY Breaking from Exotic U(1)

We propose a mechanism that the soft supersymmetry breaking masses can be induced from the dynamical rearrangement of local U(1) symmetry in a five-dimensional model. The U(1) symmetry possesses several extraordinary features. The eigenstates of U(1) do not equal to those of boundary conditions. The U(1) charge of standard model particles does not equal to that of superpartners. A large U(1) charge hierarchy among superpartners and a standard model gauge singlet is necessary in order to obtain the masses of O(1)TeV.Comment: Based on talk given at the International Workshop on Grand Unified Theories (GUT2012) held at Yukawa Institute for Theoretical Physics, Kyoto, Japan, March 201

Cubic Matrix, Generalized Spin Algebra and Uncertainty Relation

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 among their expectation values.Comment: Latex, 13page