Classical and quantum N=1 super $W_{\infty }$-algebras

Abstract

We construct higher-spin N=1 super algebras as extensions of the super Virasoro algebra containing generators for all spins $s\ge 3/2$. We find two distinct classical (Poisson) algebras on the phase super space. Our results indicate that only one of them can be consistently quantized.

10 pages, latex, no figures

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