Generalized complex manifolds and supersymmetry

TL;DR

This paper introduces a worldsheet model that realizes generalized complex geometry, bridging complex and symplectic structures, and extends the Poisson sigma model to incorporate supersymmetry.

Contribution

It provides a supersymmetric worldsheet realization of generalized complex geometry, connecting it with string theory models.

Findings

Constructed a supersymmetric model related to generalized complex geometry

Extended the Poisson sigma model to include supersymmetry

Bridged geometric structures with string worldsheet theories

Abstract

We find a worldsheet realization of generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. The two-dimensional model we construct is a supersymmetric relative of the Poisson sigma model used in context of deformation quantization.