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

Francois Gieres; Stefan Theisen

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

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arxiv hep-th/9304040 v1 pith:2X22ZCS7 submitted 1993-04-09 hep-th

Francois Gieres , Stefan Theisen This is my paper · ORCID

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keywords classicalconditionfirstsuperw-algebraszero-curvaturealgebraalgebras

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abstract

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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