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arXiv · hep-th/9912202

W-algebras from symplectomorphisms

G. Bandelloni·S. Lazzarini
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Abstract

It is shown how $W$-algebras emerge from very peculiar canonical transformations with respect to the canonical symplectic structure on a compact Riemann surface. The action of smooth diffeomorphisms of the cotangent bundle on suitable generating functions is written in the BRS framework while a $W$-symmetry is exhibited. Subsequently, the complex structure of the symmetry spaces is studied and the related BRS properties are discussed. The specific example of the so-called $W_3$-algebra is treated in relation to some other different approaches.

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G. Bandelloni, S. Lazzarini. 1999-12-21. W-algebras from symplectomorphisms. https://doi.org/10.1063/1.533236

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