Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures

Details Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures

2003-03-14

arxiv.org/abs/hep-th/0303127v1

JHEP 0307:004,2003

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX

Scientific paper

10.1088/1126-6708/2003/07/004

We consider Minkowski compactifications of M-theory on generic seven-dimensional manifolds. After analyzing the conditions on the four-form flux, we establish a set of relations between the components of the intrinsic torsion of the internal manifold and the components of the four-form flux needed for preserving supersymmetry. The existence of two nowhere vanishing vectors on any seven-manifold with G_2 structure plays a crucial role in our analysis, leading to the possibility of four-dimensional compactifications with N=1 and N=2 supersymmetry.

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