We propose a new mechanism toward the solution to the doublet-triplet Higgs mass splitting problem in the supersymmetric grand unified theory. Our model is based on the gauge group SU(5)H × SU(5)GUT , where SU(5)H and SU(5)GUT are new strong gauge interaction and the ordinary grand unified gauge group, respectively. The doublet-triplet Higgs mass splitting is realized through the quantum deform...

Based on local gauge invariance, four different kinds of fundamental interactions in Nature are unified in a theory which has SU(3)c⊗SU(2)L⊗U(1)⊗s Gravitational Gauge Group gauge symmetry. In this approach, gravitational field, like electromagnetic field, intermediate gauge field and gluon field, is represented by gauge potential. Four kinds of fundamental interactions are formulated in the sim...

In this article we show in some detail how the full action functional of the standard model of elementary particle physics can be described within the geometrical setting of generalized Dirac operators. We thereby introduce a new model building kit for (a certain class of) gauge invariant theories which provides a unified geometrical description of Einstein's theory of gravity and Yang-Mills ga...

Perturbative unification of soft supersymmetry–breaking (SSB) parameters is proposed in Gauge-Yukawa unified models. The method, which can be applied in any finite order in perturbation theory, consists in searching for renormalization group invariant relations among the SSB parameters, which are consistent with perturbative renormalizability. For the minimal Gauge-Yukawa unified model based on...

The electroweak Higgs doublets are identified as components of a vector multiplet in a higher dimensional supersymmetric field theory. We construct a minimal model in 6D where the electroweak SU(2) ⊗ U(1) gauge group is extended to SU(3), and unified 6D models with the unified SU(5) gauge symmetry extended to SU(6). In these realistic theories the extended gauge group is broken by orbifold boun...

A gauge field model, which simultaneously has strict local gauge symmetry and contains massive general gauge bosons, is discussed in this paper. The model has SU (N) gauge symmetry. In order to introduce the mass term of gauge fields directly without violating the gauge symmetry of the theory, two sets of gauge fields will be introduced into the theory. After some transformations , one set of g...