Abstract
Motivated by the description of \( \mathcal{N}=1 \) M-theory compactifications to four-dimensions given by Exceptional Generalized Geometry, we propose a way to geometrize the M-theory fluxes by appropriately relating the compactification space to a higher-dimensional manifold equipped with a torsion-free structure. As a non-trivial example of this proposal, we construct a bijection from the set of Spin(7)-structures on an eight-dimensional S 1-bundle to the set of G 2-structures on the base space, fully characterizing the G 2-torsion clases when the total space is equipped with a torsion-free Spin(7)-structure. Finally, we elaborate on how the higher-dimensional manifold and its moduli space of torsion-free structures can be used to obtain information about the moduli space of M-theory compactifications.
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Graña, M., Shahbazi, C.S. M-theory moduli spaces and torsion-free structures. J. High Energ. Phys. 2015, 85 (2015). https://doi.org/10.1007/JHEP05(2015)085
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DOI: https://doi.org/10.1007/JHEP05(2015)085