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Conformal covariance in 2d conformal and integrable models, in W-algebras and in their supersymmetric extensions | Francois Gieres
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21 Feb 2000 | Subject: | Exactly Solvable and Integrable Systems | nlin.SI | Abstract: | Conformal symmetry underlies the mathematical description of various two-dimensional integrable models (e.g. for their Lax representation, Poisson algebra, zero curvature representation,...) or of conformal models (for the anomalous Ward identities, operator product expansion, Krichever-Novikov algebra,...) and of W-algebras. Here, we review the construction of conformally covariant differential operators which allow to render the conformal covariance manifest. The N=1 and N=2 supersymmetric generalizations of these results are also indicated and it is shown that they involve nonstandard matrix formats of Lie superalgebras. | Source: | arXiv, nlin.SI/0002036 | Services: | Forum | Review | PDF | Favorites |
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