W-ALGEBRAS OF NEGATIVE RANK

Recently it has been discovered that the W-algebras (orbifold of) WDn can be defined even for negative integers n by an analytic continuatio n of their coupling constants. In this letter we shall argue that also the algebras WA(-n-1) can be defined and are finitely generated. In a ddition, we show that a surprising connection exists between already k nown W-algebras, for example between the CP (k)-models and the U(1)-co sets of the generalized Polyakov-Bershadsky-algebras.