Reformulating Supersymmetry with a Generalized Dolbeault Operator
High Energy Physics - Theory
2008-11-26 v2
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.
Cite
@article{arxiv.0704.2613,
title = {Reformulating Supersymmetry with a Generalized Dolbeault Operator},
author = {Alessandro Tomasiello},
journal= {arXiv preprint arXiv:0704.2613},
year = {2008}
}