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W-Algebras of Negative Rank

High Energy Physics - Theory 2009-10-28 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9410013,
  title  = {W-Algebras of Negative Rank},
  author = {K. Hornfeck},
  journal= {arXiv preprint arXiv:hep-th/9410013},
  year   = {2009}
}

Comments

12 papes, Latex, preprint DFTT-40/94