Reformulating Supersymmetry with a Generalized Dolbeault Operator

Details Reformulating Supersymmetry with a Generalized Dolbeault Operator Reformulating Supersymmetry with a Generalized Dolbeault Operator

2007-04-20

arxiv.org/abs/0704.2613v2

JHEP0802:010,2008

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, no figures. v2: minor corrections

Scientific paper

10.1088/1126-6708/2008/02/010

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.

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