An eight-dimensional approach to G_2 manifolds
High Energy Physics - Theory
2009-11-07 v2 Differential Geometry
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.
Cite
@article{arxiv.hep-th/0202135,
title = {An eight-dimensional approach to G_2 manifolds},
author = {Rafael Hernandez and Konstadinos Sfetsos},
journal= {arXiv preprint arXiv:hep-th/0202135},
year = {2009}
}
Comments
16 pages, Latex. v2: Minor and cosmetic changes, and references added. Journal version