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Journal of Mathematical Physics 39 (1998) 3453-3475
d=2, N=2 Superconformally covariant operators and super W-algebras
F. Gieres1, S. Gourmelen1

We construct and classify superconformally covariant differential operators defined on N=2 super Riemann surfaces. By contrast to the N=1 theory, these operators give rise to partial rather than ordinary differential equations which leads to novel features for their matrix representation. The latter is applied to the derivation of N=2 super W-algebras in terms of N=2 superfields.
1 :  IPNL - Institut de Physique Nucléaire de Lyon
Science non linéaire/Systèmes Solubles et Intégrables
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