Conformal flatness, non-Abelian Kaluza-Klein and the Quaternions
Mathematical Physics
2015-05-20 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
Maximally symmetric manifolds with holonomy in the unitary quaternionic group Sp(d/4) emerge from the non-Abelian Kaluza-Klein reduction of conformally flat spaces. Thus, all special manifolds with constant properly `holonomy-related' sectional curvature, are in natural correspondence with conformally flat, possibly non-Abelian, Kaluza-Klein spaces.
Keywords
Cite
@article{arxiv.1101.0454,
title = {Conformal flatness, non-Abelian Kaluza-Klein and the Quaternions},
author = {Paolo Maraner and Jiannis K. Pachos},
journal= {arXiv preprint arXiv:1101.0454},
year = {2015}
}
Comments
13 pages, no figures, minor typo corrections