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Flux Compactifications of M-Theory on Twisted Tori

C. M. Hull·R. A. Reid-Edwards
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Abstract

We find the bosonic sector of the gauged supergravities that are obtained from 11-dimensional supergravity by Scherk-Schwarz dimensional reduction with flux to any dimension D. We show that, if certain obstructions are absent, the Scherk-Schwarz ansatz for a finite set of D-dimensional fields can be extended to a full compactification of M-theory, including an infinite tower of Kaluza-Klein fields. The internal space is obtained from a group manifold (which may be non-compact) by a discrete identification. We discuss the symmetry algebra and the symmetry breaking patterns and illustrate these with particular examples. We discuss the action of U-duality on these theories in terms of symmetries of the D-dimensional supergravity, and argue that in general it will take geometric flux compactifications to M-theory on non-geometric backgrounds, such as U-folds with U-duality transition functions.

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C. M. Hull, R. A. Reid-Edwards. 2006-03-12. Flux Compactifications of M-Theory on Twisted Tori. https://doi.org/10.1088/1126-6708%2F2006%2F10%2F086

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