Pure Subspaces, Generalizing the Concept of Pure Spinors
Differential Geometry
2015-06-17 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
The concept of pure spinor is generalized, giving rise to the notion of pure subspaces, spinorial subspaces associated to isotropic vector subspaces of non-maximal dimension. Several algebraic identities concerning the pure subspaces are proved here, as well as some differential results. Furthermore, the freedom in the choice of a spinorial connection is exploited in order to relate twistor equation to the integrability of maximally isotropic distributions.
Keywords
Cite
@article{arxiv.1310.0104,
title = {Pure Subspaces, Generalizing the Concept of Pure Spinors},
author = {Carlos Batista},
journal= {arXiv preprint arXiv:1310.0104},
year = {2015}
}
Comments
19 pages