MORE ON THE LINEARIZATION OF W ALGEBRAS

Abstract

We developed the heuristic method of conformal linearization for a wide class of W (super)algebras and obtained the general formulas for corresponding conformal linearizing algebras with finite set of currents. The general constructions are illustrated by the examples of u (N) superconformal, W(sl(N), sl(2)), W(sl(N), sl(N)) as well as W(sl(N), sl(3)) algebras. The “chain” structure of embeddings for the W(sl(N), sl(N)) linearizing algebras is observed. A spectrum of central charges of u(N) superconformal, W(sl(N), sl(2)) and W(sl(N), sl(3)) minimal models is predicted.