There is a unique SU(4)⊗ SU(2)L ⊗ SU(2)R gauge model which allows quarks and leptons to be unified at the TeV scale – thereby making the model testable and avoiding the gauge hierarchy problem. In its minimal form, this model could quite naturally accommodate simultaneous solutions to the solar and LSND neutrino oscillation data. The atmospheric neutrino anomaly can be easily accommodated by mi...

The Peccei-Quinn symmetric extension of the missing-partner model in the supersymmetric SU(5) grand unified model is consistent with the observed stability of the proton, even in the large tan β region (' 50 − 60) expected from the Yukawa unification. Moreover, the SU(5) gauge coupling constant remains small enough for the perturbative description of GUT’s below the gravitational scale. Talk gi...

We study an example of Grand Unified Theory (GUT), known as trinification, which was first introduced in 1984 by S.Glashow. This model has the GUT gauge group as [SU(3)] with a discrete Z3 to ensure the couplings are unified at the GUT scale. In this letter we consider this trinification model in its minimal formulation and investigate its robustness in the context of cosmology. In particular w...

Majorana’s arbitrary spin theory is considered in a hyperbolic complex representation. The underlying differential equation is embedded into the gauge field theories of Sachs and Carmeli. In particular, the approach of Sachs can serve as a unified theory of general relativity and electroweak interactions. The method is extended to conformal space with the intention to introduce the strong inter...

We try to construct a model in which supersymmetry and grand unified gauge symmetry are dynamically broken at the same time. In this model SUSY breaking is mediated mainly by massive vector multiplet, and a new solution for the μ problem is proposed. e-mail: [email protected] e-mail: [email protected] e-mail: [email protected] If supersymmetr...

Models with spontaneously broken parity symmetry can solve the strong CP problem in a natural way. We construct such a model in the context of SU(3) 3 unification. Parity has the conventional meaning in this model, and the gauge group is unified.

We consider the unification of gauge, Higgs as well as the matter fields in a 6D N= 2 supersymmetric SU(8) gauge theory. The gauge symmetry SU(8) is broken down to SU(4)× SU(2)L × SU(2)R × U(1) in 4D through T 2/Z6 orbifold compactification, and the theory is reduced to 4D N = 1 supersymmetric Pati-Salam model. The electroweak Higgs fields as well as the third family of fermions are unified in ...

We study the unitarity bounds of the scattering amplitudes in the extra dimensional gauge theory where the gauge symmetry is broken by the boundary condition. The estimation of the amplitude of the diagram including four massive gauge bosons in the external lines shows that the asymptotic power behavior of the amplitude is canceled. The calculation will be done in the 5 dimensional standard mod...

We consider the unification of gauge, Higgs as well as the matter fields in a 6D N= 2 supersymmetric SU(8) gauge theory. The gauge symmetry SU(8) is broken down to SU(4)× SU(2)L × SU(2)R × U(1) in 4D through T 2/Z6 orbifold compactification, and the theory is reduced to 4D N = 1 supersymmetric Pati-Salam model. The electroweak Higgs fields as well as the third family of fermions are unified in ...

This is part of a research program to establish a unified field model for interactions in nature. The aim of this article is to postulate a new principle of representation invariance (PRI), to provide a needed mathematical foundation for PRI, and to use PRI to refine the unified field equations of four interactions. Intuitively, PRI amounts to saying that all SU(N) gauge theories should be inva...