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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, latex, no figures

Scientific paper

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.

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