2003/02/28 by Adel Bilal, Steffen Metzger · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.1016/s0550-3213(03)00388-2
published as Nucl.Phys. B663 (2003) 343-364 · 26 pages, Latex, version to be published in Nucl. Phys. B, minor changes, one appendix added
arxiv created 2003/04/25 · openalex publication_date 2003/06/21 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct 7-dimensional compact Einstein spaces with conical singularities that preserve 1/8 of the supersymmetries of M-theory. Mathematically they have weak G2-holonomy. We show that for every non-compact G2-holonomy manifold which is asymptotic to a cone on a 6-manifold Y, there is a corresponding weak G2-manifold with two conical singularities which, close to the singularities, looks like a cone on Y. Our construction provides explicit metrics on these weak G2-manifolds. We completely determine the cohomology of these manifolds in terms of the cohomology of Y.