M-Theory on the Orbifold C^2/Z_N

Abstract

We construct M-theory on the orbifold C^2/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 non-trivial order in the 11-dimensional Newton constant. This action provides the starting point for a reduction of M-theory on G_2 spaces with co-dimension four singularities.

33 pages, Latex

References in corpus (2)

• A Moduli Fixing Mechanism in M theory
• M-theory compactifications, G_2-manifolds and anomalies

Cited by in corpus (3)

• M-theory on seven-dimensional manifolds with SU(3) structure
• Heterotic and M-theory Compactifications for String Phenomenology
• Four-dimensional Effective M-theory on a Singular G_2 Manifold