The role of complex structures in w-symmetry

Abstract

In a symplectic framework, the infinitesimal action of symplectomorphisms together with suitable reparametrizations of the two dimensional complex base space generate some type of W-algebras. It turns out that complex structures parametrized by Beltrami differentials play an important role in this context. The construction parallels very closely two dimensional Lagrangian conformal models where Beltrami differentials are fundamental.

LaTex, 34 pages, no figures, to be published in Nucl. Phys. B

References in corpus (1)

• Integrating the Chirally Split Diffeomorphism Anomaly on a Compact Riemann Surface

Cited by in corpus (4)

• The geometry of W3 algebra: a twofold way for the rebirth of a symmetry
• Primary currents and Riemannian geometry in W-algebras
• Induced quantum gravity on a Riemann Surface
• W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach