Supersymmetric theories are reviewed in the context of field theories. The gauge hierarchy problem in attempting the unification of all fundamental interactions is the strongest motivation of modern development of supersymmetry. Starting from the general notion of supersymmetry as a symmetry between bosons and fermions, we explain how the supersymmetry becomes a part of the space-time symmetry ...

In orbifold models, gauge, Higgs and the matter fields can be unified in one multiplet from the compactification of higher dimensional supersymmetric gauge theory. We study how three families of chiral fermions can be unified in the gauge multiplet. The bulk gauge interaction includes the Yukawa interactions to generate masses for quarks and leptons after the electroweak symmetry is broken. The...

We construct an orbifold model in which all the standard model particles are unified in a gauge multiplet in higher dimensional supersymmetric gauge theory. We find that a flavor symmetry has to remain in four dimensions due to the discrete charge conservation for orbifold conditions if the colored Higgs components in the gauge multiplet are projected out. When the flavor symmetry originates fr...

Recently, a grand unification scenario in unphysical world has been proposed.1) The basic idea is as follows. Fields form multiplets under a unified gauge group and the gauge coupling unification originates from the gauge symmetry at a high-energy scale, as ordinary grand unified theories (GUTs).2), 3) Some members in multiples, however, are unphysical degrees of freedom, which are eliminated b...

The main objective of this article is to postulate a principle of interaction dynamics (PID) and to derive unified field equations coupling the four fundamental interactions based on first principles. PID is a least action principle subject to divA-free constraints for the variational element with A being gauge potentials. The Lagrangian action is uniquely determined by 1) the principle of gene...

We consider a class of seven-dimensional N = 1 supersymmetric orbifold GUTs in which the Standard Model (SM) gauge couplings and one of the Yukawa couplings (top quark, bottom quark or tau lepton) are unified, without low energy supersymmetry, at MGUT ≃ 4× 10 GeV. With gauge-top quark Yukawa coupling unification the SM Higgs boson mass is estimated to be 135± 6 GeV, which increases to 144± 4 Ge...

We consider orbifold GUTs with N = 1 supersymmetry in which the Standard Model (SM) gauge couplings are unified at MGUT ≃ 2×1016 GeV with one of the third family (charged) Yukawa couplings. With split supersymmetry the SM Higgs mass is estimated to be 131±10 GeV for gauge-top quark Yukawa unification, which increases to 146± 8 GeV for gauge-bottom quark (or gauge-tau lepton) Yukawa unification....

Gauge-Yukawa Unification (GYU) is obtained in GUTs by searching for renormalization group invariant relations among gauge and Yukawa couplings beyond the unification scale. Of particular interest are two supersymmetric GUTs, the finite and the minimal SU (5) models. Both models provided us,among others,with predictions of the top quark mass which so far have passed successfully the tests of pro...

We study μ and B-parameters in the minimal supersymmetric standard model (MSSM) based on the radiative electroweak symmetry breaking scenario using “bottom-up” approach and show how useful our approach is to select a phenomenologically viable model beyond the MSSM under the assumption that the underlying theory is a string model or a gauge-Yukawa unified gauge model. e-mail: [email protected]...