W-Algebras of Negative Rank

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 papes, Latex, preprint DFTT-40/94

Scientific paper

10.1016/0370-2693(94)01442-F

Recently it has been discovered that the W-algebras (orbifold of) WD_n can be defined even for negative integers n by an analytic continuation 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 addition, we show that a surprising connection exists between already known W-algebras, for example between the CP(k)-models and the U(1)-cosets of the generalized Polyakov-Bershadsky-algebras.

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