Two models which generate the supersymmetric Grand Unification Scale from the strong dynamics of an additional gauge group are presented. The particle content is chosen such that this group confines with chiral symmetry breaking. Fields that are usually introduced to break the Grand Unified group appear instead as composite degrees of freedom and can acquire vacuum expectation values due to the...

Dirac's theory of constrained Hamiltonian systems is applied to the minimal conformally-invariant SU (5) grand-unified model studied at 1-loop level in a de Sitter universe. For this model, which represents a simple and interesting example of GUT theory and at the same time is a step towards theories with larger gauge group like SO(10), second-class constraints in the Euclidean-time regime exis...

Higher-dimensional theories provide a promising framework for unified extensions of the supersymmetric standard model. Compactifications to four dimensions often lead to U(1) symmetries beyond the standard model gauge group, whose breaking scale is classically undetermined. Without supersymmetry breaking, this is also the case for the size of the compact dimensions. Fayet-Iliopoulos terms gener...

A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group SO(1, 2), the theory is shown to describe ordinary Einstein gravity with a cosmological constant. With gauge group G = SO(1, 2) ⊗ G , it is shown that the equations of motion for the G fields are the Yang-Mills equations. I...

In unified gauge theories there exist renormalization group invariant relations among gauge and Yukawa couplings that are compatible with perturbative renormalizability, which could be considered as a Gauge-Yukawa Unification. Such relations are even necessary to ensure all-loop finiteness in Finite Unified Theories, which have vanishing βfunctions beyond the unification point. We elucidate thi...

We consider 5 dimensional E6, E7, and E8 supersymmetric grand unified theories (GUTs) on an orbifold S/Z2, in which the Higgs fields arise from the 5th components of the 5D gauge fields. We introduce matter fields in 5 dimensions, then the Yukawa interactions are induced from the gauge interactions among the 5th component of gauge fields and the bulk hyper-multiplets. The adjoint and fundamenta...

We embed the minimal left-right model SU(2)L × SU(2)R × U(1)B−L into an SU(4)W gauge group, and break the unified group via five-dimensional S /(Z2 × Z2) orbifolding. Leptons are fitted into SU(4)W multiplets and located on a symmetry preserving O brane, while quarks are placed onto an O brane where the symmetry is broken. This approach predicts sin θW = 0.25 for the weak mixing angle at tree l...

Dynamical models of inflation are given with composite inflatons by means of massive supersymmetric gauge theory. Nearly flat directions and stable massive ones in the potential are identified and slow-roll during inflation is examined. This kind of dynamical inflations may be ubiquitous in fundamental unified theory with supersymmetry, which should contain gauge theories for interactions of el...

We report on some phenomenological implications of a class of unified models based on SO(10) gauge group, with intermediate symmetry group containing SU(2)R. Interesting predictions for neutrino masses are discussed, which are relevant both for solar neutrino and dark matter problems, as well as a model for the formation of the baryon asymmetry of the universe required by primordial nucleosynth...

Abstract A novel invariant gauge field theory realization of Kac-Moody extensions of w∞(w1+∞) algebras and based on a Lie group G is constructed. The most relevant physical feature of this theory is that it describes an effective field theory of ”colored” internal w∞(w1+∞) strings when G = SU(3). We conclude with a discussion of how these theories might provide infinite higher conformal-spins e...