The geometry of pure spinor space
High Energy Physics - Theory
2015-06-03 v3
Abstract
We investigate the complex geometry of D=10 pure spinor space. The K\"ahler structure and the corresponding metric giving rise to the desired Calabi-Yau property are determined, and an explicit covariant expression for the Laplacian is given. The metric is not that of a cone obtained by embedding pure spinor space in a flat space of unconstrained spinors. Some directions for future studies, concerning regularisation and generalisation to eleven dimensions, are briefly discussed.
Keywords
Cite
@article{arxiv.1111.1932,
title = {The geometry of pure spinor space},
author = {Martin Cederwall},
journal= {arXiv preprint arXiv:1111.1932},
year = {2015}
}
Comments
11 pp., plain tex. v2: refs. added. v3: minor corrections