SU(2) gauge theory with two fundamental flavors: A minimal template for model building

Minimal basis for gauge theory amplitudes.

Identities based on monodromy for integrations in string theory are used to derive relations between different color-ordered tree-level amplitudes in both bosonic and supersymmetric string theory. These relations imply that the color-ordered tree-level n-point gauge theory amplitudes can be expanded in a minimal basis of (n-3)! amplitudes. This result holds for any choice of polarizations of th...

Model Building with Gauge – Yukawa Unification

In supersymmetric theories with extra dimensions, the Higgs and matter fields can be part of the gauge multiplet, so that the Yukawa interactions can arise from the gauge interactions. This leads to the possibility of gauge–Yukawa coupling unification, gi = yf , in the effective four dimensional theory after the initial gauge symmetry and the supersymmetry are broken upon orbifold compactificat...

A lattice gauge theory model for graphene

Maintenance Cost Analysis for Replacement Model with Perfect Minimal Repair

With the evolution of technology, the maintenance of sophisticated systems is of concern for system engineers and system designers. The maintenance cost of the system depends in general on the replacement and repair policies. The system replacement may be in a strictly periodic fashion or on a random basis depending upon the maintenance policy. At failure, the repair of the system may be perfor...

A Minimal Model for Set Theory

In the proof of the consistency of the Continuum Hypothesis and the Axiom of Choice with the other axioms of set theory, Gödel [ l ] introduced the notion of a constructible set and showed that the constructible sets form a model for set theory. These sets are intuitively those which can be reached by means of a transfinite sequence of several simple operations. He then showed that the Axiom of...