English

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

High Energy Physics - Theory 2015-06-26 v2

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0201071,
  title  = {W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach},
  author = {G. Bandelloni and S. Lazzarini},
  journal= {arXiv preprint arXiv:hep-th/0201071},
  year   = {2015}
}

Comments

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