Englert-type solutions of d=11 supergravity
High Energy Physics - Theory
2013-07-02 v1
Abstract
A family of geometries on S^7 arise as solutions of the classical equations of motion in 11 dimensions. In addition to the conventional riemannian geometry and the two exceptional Cartan-Schouten compact flat geometries with torsion, one can also obtain non-flat geometries with torsion. This torsion is given locally by the structure constants of a nonassociative geodesic loop in the affinely connected space.
Cite
@article{arxiv.1307.0097,
title = {Englert-type solutions of d=11 supergravity},
author = {E. K. Loginov},
journal= {arXiv preprint arXiv:1307.0097},
year = {2013}
}
Comments
8 pages, LaTeX, no figures