Singular 7-manifolds with G(2) holonomy and intersecting 6-branes

Behrndt, Klaus

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Singular 7-manifolds with G(2) holonomy and intersecting 6-branes

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Behrndt, Klaus
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Behrndt, K. (2002). Singular 7-manifolds with G(2) holonomy and intersecting 6-branes. Nuclear Physics B, 635(1-2), 158-174.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-53A4-6

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 CP2 or its non-compact analogs. This 4d Einstein space has four isometrics 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