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 W3-algebra is treated in relation to some other different approaches

W algebras from symplectomorphisms.

BANDELLONI, GIUSEPPE;
2000

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 W3-algebra is treated in relation to some other different approaches
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11567/379994
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