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arXiv · hep-th/0202135

An eight-dimensional approach to G_2 manifolds

Rafael Hernandez·Konstadinos Sfetsos
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Abstract

We develop a systematic approach to G_2 holonomy manifolds with an SU(2)xSU(2) isometry using maximal eight-dimensional gauged supergravity to describe D6-branes wrapped on deformed three-spheres. A quite general metric ansatz that generalizes the celebrated Bryant-Salamon metric involves nine functions. We show that only six of them are the independent ones and derive the general first order system of differential equations that they obey. As a byproduct of our analysis, we generalize the notion of the twist that relates the spin and gauge connections in a way that involves non-trivially the scalar fields.

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Rafael Hernandez, Konstadinos Sfetsos. 2002-04-28. An eight-dimensional approach to G_2 manifolds. https://doi.org/10.1016/s0370-2693(02)01862-2

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