W-algebras of negative rank

@inproceedings{Hornfeck1995WalgebrasON,
  title={W-algebras of negative rank},
  author={Klaus Hornfeck},
  year={1995}
}
  • Klaus Hornfeck
  • Published 1995
  • Physics
  • 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 -cosets of the generalized Polyakov-Bershadsky-algebras. 

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