Reformulating Supersymmetry with a Generalized Dolbeault Operator

Understand

The conditions for N=1 supersymmetry in type II supergravity have been previously reformulated in terms of generalized complex geometry.

• We improve that reformulation so as to completely eliminate the remaining explicit dependence on the metric.
• Doing so involves a natural generalization of the Dolbeault operator.
• As an application, we present some general arguments about supersymmetric moduli.