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Journal Article

Fluxes in M-theory on 7-manifolds and G structures


Behrndt,  Klaus
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Behrndt, K., & Jeschek, C. (2003). Fluxes in M-theory on 7-manifolds and G structures. Journal of High Energy Physics, 2003(4): 002.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-52D1-8
We consider warp compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes and investigate the constraints imposed by supersymmetry. As long as the 7-manifold supports only one Killing spinor we infer from the Killing spinor equations that non-trivial 4-form fluxes will necessarily curve the external 4-dimensional space. On the other hand, if the 7-manifold has at least two Killing spinors, there is a non-trivial Killing vector yielding a reduction of the 7-manifold to a 6-manifold and we confirm that 4-form fluxes can be incorporated if one includes non-trivial SU(3) structures.