M theory on the orbifoldC2/ZN

2006/02/06 by Lara B. Anderson, Lara B Anderson, Adam B. Barrett +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Codimension #Combinatorics #Cosmology and Gravitation Theories #Gravitational singularity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Orbifold #Physics #Supergravity #Supersymmetry #hep-th

paper · pdf · doi:10.1103/physrevd.73.106011

published as Phys.Rev.D73:106011,2006 · 33 pages, Latex

arxiv created 2006/02/06 · openalex publication_date 2006/05/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct M theory on the orbifold ℂ²/ℤ_N by coupling 11-dimensional supergravity to a seven-dimensional Yang-Mills theory located on the orbifold fixed plane. It is shown that the resulting action is supersymmetric to leading nontrivial order in the 11-dimensional Newton constant. This action provides the starting point for a reduction of M theory on G₂ spaces with codimension four singularities.

Citations

• M-theory compactifications, G₂-manifolds and anomalies
• Anomaly Cancellation On Manifolds Of G₂ Holonomy
• Eleven-dimensional supergravity on a manifold with boundary
• Anomalies in M-theory on singular G2-manifolds
• M theory and singularities of exceptional holonomy manifolds
• Matter from G2 manifolds
• Supergravity in theory in 11 dimensions