W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach

Details W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach

2002-01-11

arxiv.org/abs/hep-th/0201071v2

J.Math.Phys. 43 (2002) 5757-5772

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 20 pages, no figures, version to be published in Journ. Math. Phys

Scientific paper

It is shown that the notion of W_\infty-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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