Reformulating Supersymmetry with a Generalized Dolbeault Operator

Abstract

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. In particular, a subset of them are then classified by a certain cohomology. We also argue that the Dolbeault reformulation should make it easier to find existence theorems for the N=1 equations.

30 pages, no figures. v2: minor corrections

References in corpus (4)

• Taming symplectic forms and the Calabi-Yau equation
• New aspects of the ddc-lemma
• Generalized geometry and the Hodge decomposition
• On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case

Cited by in corpus (3)

• New string vacua from twistor spaces
• Warped generalized geometry compactifications, effective theories and non-perturbative effects
• On special geometry of the moduli space of string vacua with fluxes