Infinite families of linear binary nested completely regular codes with covering radius ρ equal to 3 and 4 are constructed. In the usual way, i.e., as coset graphs, infinite families of embedded distance-regular coset graphs of diameter D = 3 or 4 are constructed. In some cases, the constructed codes are also completely transitive codes and the corresponding coset graphs are distance-transitive.

The SW(3/2, 3/2, 2) superconformal algebra is a W algebra with two free parameters. It consists of 3 superconformal currents of spins 3/2, 3/2 and 2. The algebra is proved to be the symmetry algebra of the coset su(2)⊕su(2)⊕su(2) su(2) . At the central charge c = 10 2 the algebra coincides with the superconformal algebra associated to manifolds of G2 holonomy. The unitary minimal models of the ...

In this paper‎, ‎we have shown that the coset diagrams for the‎ ‎action of a linear-fractional group $Gamma$ generated by the linear-fractional‎ ‎transformations $r:zrightarrow frac{z-1}{z}$ and $s:zrightarrow frac{-1}{2(z+1)}$ on‎ ‎the rational projective line is connected and transitive‎. ‎By using coset diagrams‎, ‎we have shown that $r^{3}=s^{4}=1$ are defining relations for $Gamma$‎. ‎Furt...

The normal form and the coset correlation function of an arbitrary linear recurring m-array over F2 are introduced. It is proved that the normal form can be determined by its coset correlation function. Introduction Nguyen [3] studied the coset correlation of m-sequences and pointed out that the coset correlation provides an attractive technique for detecting the normal form when m-sequences ar...

It is shown that the space of cohomology classes of the SU(1, 1)/U(1) coset at negative level k contains states of relevant conformal dimensions. These states correspond to the energy density operator of the associated nonlinear sigma model. We exhibit that there exists a subclass of relevant operators forming a closed fusion algebra. We make use of these operators to perform renormalizable per...

Our aim is to derive the effective action in four dimensions resulting by reducing dimensionally the ten-dimensional N = 1 heterotic supergravity coupled to N = 1 super Yang-Mills over manifolds admitting a nearly-Kähler structure. Given the fact that all homogeneous six-dimensional nearly-Kähler manifolds are included in the class of the corresponding non-symmetric coset spaces plus a group ma...