Classical $N=1$ and $N=2$ super W-algebras from a zero-curvature condition

Details Classical $N=1$ and $N=2$ super W-algebras from a zero-curvature condition Classical $N=1$ and $N=2$ super W-algebras from a zero-curvature condition

1993-04-09

arxiv.org/abs/hep-th/9304040v1

Int.J.Mod.Phys. A9 (1994) 383-398

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, tex, LMU-TPW 93-07

Scientific paper

Starting from superdifferential operators in an $N=1$ superfield formulation, we present a systematic prescription for the derivation of classical $N=1$ and $N=2$ super W-algebras by imposing a zero-curvature condition on the connection of the corresponding first order system. We illustrate the procedure on the first non-trivial example (beyond the $N=1$ superconformal algebra) and also comment on the relation with the Gelfand-Dickey construction of $W$-algebras.

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