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

Gieres, Francois; Theisen, Stefan

doi:10.1142/S0217751X94000182

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

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Theisen, Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Gieres, F., & Theisen, S. (1994). Classical N=1 and N=2 super W algebras from a zero-curvature condition. International Journal of Modern Physics A, 9(3), 383-398. doi:10.1142/S0217751X94000182.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5C07-D

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 nontrivial example (beyond the N=1 superconformal algebra) and also comment on the relation with the Gelfand-Dickey construction of W algebras.