7 research outputs found

    M-theory moduli spaces and torsion-free structures

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    Motivated by the description of N=1\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)Spin(7)-structures on an eight-dimensional S1S^{1}-bundle to the set of G2G_{2}-structures on the base space, fully characterizing the G2G_{2}-torsion clases when the total space is equipped with a torsion-free Spin(7)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.Comment: 24 pages. Typos fixed. Minor clarifications adde
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