Symmetry (4)

Exacting N = 4 Superconformal Symmetry

Ultra-Fast All-Optical Symmetry 4×2 Encoder Based on Interface Effect in 2D Photonic Crystal

This paper deals with the design and simulation of all-optical 4×2 encoderusing the wave interference effect in photonic crystals. By producing 4 opticalwaveguides as input and two waveguides as output, the given structure was designed.The size of the designed structure is 133.9 μm2. The given all-optical encoder has acontrast ratio of 13.2 dB, the response time of 0.45 ...

Neutrino Mass Matrix from S 4 Symmetry

The cubic symmetry S 4 contains A 4 and S 3 , both of which have been used to study neutrino mass matrices. Using S 4 as the family symmetry of a complete super-symmetric theory of leptons, it is shown how the requirement of breaking S 4 at the seesaw scale without breaking supersymmetry enforces a special form of the neutrino mass matrix which exhibits maximal ν µ − ν τ mixing as well as zero ...

Repeating Fractal Patterns with 4-Fold Symmetry

Previously we described an algorithm that can fill a region with an infinite sequence of randomly placed and progressively smaller shapes, producing a fractal pattern. If the algorithm is appropriately modified and the region is a fundamental region for one of the 17 “wallpaper” groups, one can obtain a fractal pattern with that symmetry group. This produces artistic patterns which have a pleas...

N = 1 Superconformal Symmetry in 4 - dimensions

The N = 1, d = 4 superconformal group is studied and its representations are discussed. Under superconformal transformations, left invariant derivatives and some class of superfields, including supercurrents, are shown to follow these representations. In other words, these superfields are quasi-primary by analogy with two dimensional conformal field theory. Based on these results, we find the g...