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Singular 7-manifolds with G_2 holonomy and intersecting 6-branes

Klaus Behrndt
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Abstract

A 7-manifold with G_2 holonomy can be constructed as a R^3 bundle over a quaternionic space. We consider a quaternionic base space which is singular and its metric depends on three parameters, where one of them corresponds to an interpolation between S^4 and CP^2 or its non-compact analogs. This 4-d Einstein space has four isometries and the fixed point set of a generic Killing vector is discussed. When embedded into M-theory the compactification over a given Killing vector gives intersecting 6-branes as IIA configuration and we argue that membrane instantons may resolve the curvature singularity.

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Klaus Behrndt. 2002-04-25. Singular 7-manifolds with G_2 holonomy and intersecting 6-branes. https://doi.org/10.1016/s0550-3213(02)00358-9

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