Skew Killing spinors
Differential Geometry
2013-02-26 v1
Abstract
In this paper, we study the existence of a skew Killing spinor (see the definition below) on 2 and 3-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor fields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case.
Keywords
Cite
@article{arxiv.1110.2061,
title = {Skew Killing spinors},
author = {Georges Habib and Julien Roth},
journal= {arXiv preprint arXiv:1110.2061},
year = {2013}
}