Almost contact structures on manifolds with a $G_2$ structure
High Energy Physics - Theory
2021-10-20 v3 Differential Geometry
Abstract
We review the construction of almost contact metric (three-) structures, abbreviated ACM(3)S, on manifolds with a structure. These are of interest for certain supersymmetric configurations in string and M-theory. We compute the torsion of the structure associated to an ACMS and apply these computations to heterotic systems and supersymmetry enhancement. We initiate the study of the space of ACM3Ss, which is an infinite dimensional space with a local product structure and interesting topological features. Tantalising links between ACM3Ss and associative and coassociative submanifolds are observed.
Keywords
Cite
@article{arxiv.2101.12605,
title = {Almost contact structures on manifolds with a $G_2$ structure},
author = {Xenia de la Ossa and Magdalena Larfors and Matthew Magill},
journal= {arXiv preprint arXiv:2101.12605},
year = {2021}
}
Comments
61 pages. v3: References added, minor revision v2: References added