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

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

2002-04-07

arxiv.org/abs/hep-th/0204061v2

Nucl.Phys. B635 (2002) 158-174

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 2 figures, Latex, add references

Scientific paper

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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