# W-Algebras of Negative Rank

Source: [W-Algebras of Negative Rank](<https://www.sota2.com/research/paper/68fa242d2c2a3760193a03a9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T08:13:30.359Z

Authors: K. Hornfeck

Published: 1994-10-04T09:13:34.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/9410013>)

[PDF](<https://arxiv.org/pdf/hep-th/9410013.pdf>)