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Journal Article

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

MPS-Authors

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

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Citation

Behrndt, K., & Jeschek, C. (2004). Fluxes in M-theory on 7-manifolds: G-structures and Superpotential. Nuclear Physics B, 694(1-2), 99-114. Retrieved from http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVC-4CS4GK8-4&_coverDate=08%2F23%2F2004&_alid=243129686&_rdoc=1&_fmt=&_orig=search&_qd=1&_cdi=5531&_sort=d&view=c&_acct=C000003518&_version=1&_urlVersion=0&_userid=42783&md5=eae140e5cc2ac21805f32988de5618fa.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-50D0-9
Abstract
We consider compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes, which leave at least four supercharges unbroken. We focus especially on the case, where the 7-manifold supports two spinors which are SU(3) singlets and the fluxes appear as specific SU(3) structures. We derive the constraints on the fluxes imposed by supersymmetry. The resulting 4-dimensional superpotential has, in addition to the known flux contributions, a torsion part due to the non-Kählerian geometry of the internal space.