The role of complex structures in w-symmetry Original Research Article

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.