Rational vs Polynomial Character of W$_n^l$-Algebras

L. Feher; L. O'Raifeartaigh; P. Ruelle; I. Tsutsui

doi:10.1016/0370-2693(92)90015-v

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arXiv · hep-th/9201038

Rational vs Polynomial Character of W$_n^l$-Algebras

L. Feher·L. O'Raifeartaigh·P. Ruelle·I. Tsutsui

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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.

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L. Feher, L. O'Raifeartaigh, P. Ruelle, I. Tsutsui. 1992-02-26. Rational vs Polynomial Character of W$_n^l$-Algebras. https://doi.org/10.1016/0370-2693(92)90015-v

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