Supersymmetric WZ-Poisson Sigma Model and Twisted Generalized Complex Geometry

摘要: It has been shown recently that extended supersymmetry in twisted first-order sigma models is related to generalized complex geometry the target. In general case there are additional algebraic and differential conditions relating structure geometrical data defining model. We study Hamiltonian formalism of vanishing metric, which supersymmetric version WZ-Poisson prove compatibility reduce an equation, represents a considerable simplification with respect case. also show this condition very natural interpretation. derivation these results notion contravariant connections on Poisson manifolds turns out be useful.