We investigate a construction of five-dimensional (5D) grand unified theories (GUTs) on an interval, which we call iGUTs. We analyze supersymmetric SO(10) iGUT as an example, where the gauge multiplet is spread over the 5D bulk. The SO(10) is directly reduced to the standard model gauge symmetry through the interval boundary conditions. Notice that this rank reduction is impossible in case of G...

The idea that dark matter may be a composite state of a hidden nonabelian gauge sector has received great attention in recent years. Frameworks such as asymmetric dark matter motivate the idea that dark matter may have similar mass to the proton, while mirror matter and G × G grand unified theories provide rationales for additional gauge sectors which may have minimal interactions with standard...

A simple extension of the standard model to an sum x U(l)y x U(1) gauge symmetry is considered. The symmetry is broken by vacuum expectation values of one doublet and one singlet scalar field, resulting in a second massive neutral gauge boson. Electron positron collisions at this 2’ resonance are calculated. Aside from the possibility of 2’ decays into exotic fermions which fill out the irreduc...

We construct a supersymmetric grand unified model in the framework of a latticized extra dimension. The SU(5) symmetries on the lattice are broken by the vacuum expectation values of the link fields connecting adjacent SU(5) sites, leaving just the MSSM at low energies. Below the SU(5) breaking scale, the theory gives rise to a similar spectrum as in orbifold breaking of SU(5) symmetry in 5 dim...

We give a classification of 3-family SO(10) and E6 grand unification in string theory within the framework of conformal field theory and asymmetric orbifolds. We argue that the construction of such models in heterotic string theory requires certain Z6 asymmetric orbifolds that include a Z3 outerautomorphism, the latter yielding a level-3 current algebra for the grand unification gauge group SO(...

We give a classification of 3-family SO(10) and E6 grand unification in string theory within the framework of conformal (free) field theory and asymmetric orbifolds. We argue that the construction of such models in the heterotic string theory requires certain Z6 asymmetric orbifolds that include a Z3 outer-automorphism, the latter yielding a level-3 current algebra for the grand unification gau...

After briefly describing the present status of the spin glass theory, we present a conjecture on the exact location of the multicritical point in the phase diagram of finite-dimensional spin glasses. The theory enables us to understand in a unified way many numerical results for two-, threeand four-dimensional models including the ±J Ising model, random Potts model, random lattice gauge theory,...

The principles of finiteness and reduction of couplings can be applied to achieve GaugeYukawa Unification. It is found that the observed top-bottom hierarchy and the top quark mass naturally follow if there exists Gauge-Yukawa Unification which is a simple functional relation among the gauge coupling and the Yukawa couplings of the third generation in various susy unified gauge models. We brief...

The three fundamental geometric components of YangMills theory -gauge field, gauge fixing and ghost fieldare unified in a new object: an extended connection in a properly chosen principal fiber bundle. To do this, it is necessary to generalize the notion of gauge fixing by using a gauge fixing connection instead of a section. From the equations for the extended connections curvature, we derive ...

I present a unified picture of center vortices and Abelian monopoles. Both appear as local gauge ambiguities in the Laplacian Center Gauge. This gauge is constructed for a general SU (N) theory. Numerical evidence is presented, for SU (2) and SU (3), that the projected Z N theory confines with a string tension similar to the non-Abelian one. 1 Motivation and technical problem The road traveled ...