The embedding tensor of Scherk-Schwarz flux compactifications from eleven dimensions

Abstract

We study the Scherk-Schwarz reduction of D=11 supergravity with background fluxes in the context of a recently developed framework pertaining to D=11 supergravity. We derive the embedding tensor of the associated four-dimensional maximal gauged theories directly from eleven dimensions by exploiting the generalised vielbein postulates, and by analysing the couplings of the full set of 56 electric and magnetic gauge fields to the generalised vielbeine. The treatment presented here will apply more generally to other reductions of $D=11$ supergravity to maximal gauged theories in four dimensions.

27 pages

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Cited by in corpus (14)

• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Half-maximal supersymmetry from exceptional field theory
• Generalised diffeomorphisms for E${}_9$
• E${}_9$ exceptional field theory I. The potential
• IIB Supergravity and the E6(6) covariant vector-tensor hierarchy
• Evidence for the existence of a novel class of supersymmetric black holes with AdS${}_5\times$S${}^5$ asymptotics
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Rotating Hairy Black Holes in AdS${}_5\times$S${}^5$
• An SO(3)$\times$SO(3) invariant solution of $D=11$ supergravity
• Lobotomy of Flux Compactifications
• Holographic dual of hot Polchinski-Strassler quark-gluon plasma
• Gaugings from E7 Extended Geometries
• All maximal gauged supergravities with uplift
• Inflation in maximal gauged supergravities