### Abstract

The constraints proposed recently by Bershadsky to produce W^{l}_{n}-algebras are a mixture of first -and second-class constraints and are degenerate. We show that they admit a first-class subsystem from which they can be recovered by gauge-fixing, and that the non-degenerate constraints can be handled by previous methods. The degenerate constraints present a new situation in which the natural primary field basis for the gauge-invariants is rational rather than polynomial. We give an algorithm for constructing the rational basis and converting the base elements to polynomials.

Original language | English |
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Pages (from-to) | 243-251 |

Number of pages | 9 |

Journal | Physics Letters B |

Volume | 283 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - Jun 11 1992 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Fehér, L., O'Raifeartaigh, L., Ruelle, P., & Tsutsui, I. (1992). Rational versus polynomial character of W

^{l}_{n}-algebras.*Physics Letters B*,*283*(3-4), 243-251. https://doi.org/10.1016/0370-2693(92)90015-V