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Workshop on Supersymmetries and Quantum Symmetries - SQS'99, Dubna : Russie, Fédération De
Conformal covariance in 2d conformal and integrable models, in W-algebras and in their supersymmetric extensions
F. Gieres1

Conformal symmetry underlies the mathematical description of varioustwo-dimensional integrable models (e.g. for their Lax representation, Poissonalgebra, zero curvature representation,...) or of conformal models (for theanomalous Ward identities, operator product expansion, Krichever-Novikovalgebra,...) and of W-algebras. Here, we review the construction of conformallycovariant differential operators which allow to render the conformal covariancemanifest. The N=1 and N=2 supersymmetric generalizations of these results arealso indicated and it is shown that they involve nonstandard matrix formats ofLie superalgebr
1 :  IPNL - Institut de Physique Nucléaire de Lyon
Science non linéaire/Systèmes Solubles et Intégrables
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