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arXiv · hep-th/0303127

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

Peter Kaste·Ruben Minasian·Alessandro Tomasiello
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Abstract

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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Peter Kaste, Ruben Minasian, Alessandro Tomasiello. 2003-03-14. Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures. https://doi.org/10.1088/1126-6708%2F2003%2F07%2F004

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