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 ...

A general theory is developed to analyze Treble Dodging methods, for change ringing extents, on n=2 (mod4) bells, and then specialized to six bells, by means of Schreier right coset graphs of comparatively low order. The theory is then applied to the eight Treble Bob Minor methods, the six Delight Minor methods, and the fifteen Surprise Minor methods that appear in the book Diagrams. In each ca...

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...