HAL : in2p3-00007757, version 1

arXiv : nlin.SI/0002036

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Workshop on Supersymmetries and Quantum Symmetries - SQS'99, Dubna : Russian Federation

Conformal covariance in 2d conformal and integrable models, in W-algebras and in their supersymmetric extensions

F. Gieres1

(2000)

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

Thème(s)

:

Science non linéaire/Systèmes Solubles et Intégrables

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Contributeur : Sylvie Florès <>

Soumis le : Vendredi 2 Mars 2001, 12:05:22

Dernière modification le : Lundi 10 Juillet 2006, 11:41:19