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- W2000673353 abstract "We perform a classical BRST analysis of the symmetries corresponding to a generic $w_N$-algebra. An essential feature of our method is that we write the $w_N$-algebra in a special basis such that the algebra manifestly has a ``nested'' set of subalgebras $v_N^N subset v_N^{N-1} subset dots subset v_N^2 equiv w_N$ where the subalgebra $v_N^i (i=2, dots ,N)$ consists of generators of spin $s={i,i+1,dots ,N}$, respectively. In the new basis the BRST charge can be written as a ``nested'' sum of $N-1$ nilpotent BRST charges. In view of potential applications to (critical and/or non-critical) $W$-string theories we discuss the quantum extension of our results. In particular, we present the quantum BRST-operator for the $W_4$-algebra in the new basis. For both critical and non-critical $W$-strings we apply our results to discuss the relation with minimal models." @default.
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- W2000673353 date "1994-01-01" @default.
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- W2000673353 title "A BRST analysis of W-symmetries" @default.
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- W2000673353 doi "https://doi.org/10.1016/0550-3213(94)90468-5" @default.
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