Embedding tensor of Scherk-Schwarz flux compactifications from eleven dimensions

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 generalized vielbein postulates, and by analyzing the couplings of the full set of 56 electric and magnetic gauge fields to the generalized vielbeine. The treatment presented here will apply more generally to other reductions of $D=11$ supergravity to maximal gauged theories in four dimensions.