M-Theory on the Orbifold C2/ZN

Abstract

We construct M-theory on the orbifold C2/ZN 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 G2 spaces with co-dimension four singularities.

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