$G_2$ holonomy metrics and wrapped D6-branes

Details $G_2$ holonomy metrics and wrapped D6-branes $G_2$ holonomy metrics and wrapped D6-branes

2006-08-23

arxiv.org/abs/hep-th/0608163v3

Phys.Rev.D75:065017,2007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, references added

Scientific paper

10.1103/PhysRevD.75.065017

We determine torsion class constraints for the supergravity background produced by D6-branes wrapping special Lagrangian cycles in a Calabi-Yau 3-fold. We employ a recently introduced method which involves probing the putative background by all possible supersymmetric brane configurations. We then lift this background to 11-dimensions to a product of 4-d Minkowski space and a 7-fold of G2-holonomy. The latter is a particular U(1) bundle over an almost complex manifold of SU(3) structure with specific torsion class constraints. We construct the closed 3- and 4-forms which calibrate the 3- and 4-cycles in the G2-holonomy manifold.

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