We discuss toroidal compactifications of maximal supergravity coupled to an
extended configuration of BPS states which transform consistently under th
e U-duality group. Under certain conditions this leads to theories that liv
e in more than eleven spacetime dimensions, with maximal supersymmetry but
only partial Lorentz invariance. We demonstrate certain features of this co
nstruction for the case of nine-dimensional N = 2 supergravity.