W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach
G. Bandelloni, S. Lazzarini
Abstract
It is shown that the notion of W∞-algebra originally carried out over a (compact) Riemann surface can be extended to n complex dimensional (compact) manifolds within a symplectic geometrical setup. The relationships with the Kodaira-Spencer deformation theory of complex structures are discussed. Subsequently, some field theoretical aspects at the classical level are briefly underlined.
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